List of Publications

N. Aizawa and J. Segar (2025)
- Affine extensions of Z₂²-graded osp(1|2) and Virasoro algebra
N. Aizawa and Daichi Kimura (2025)
- Universal weight systems from a minimal Z₂²-graded Lie algebra
N. Aizawa, Ren Ito, Z. Kuznetsova, Toshiya Tanaka and F. Toppan (2025)
- Integrable Z₂²-graded extensions of the Liouville and Sinh-Gordon theories
N. Aizawa (2025)
- Towards a superfield formulation of Z₂²-supersymmetry
N. Aizawa, Ren Ito and Toshiya Tanaka (2025)
- Z₂²-graded supersymmetry via superfield on minimal Z₂²-superspace
N. Aizawa, Ren Ito and Toshiya Tanaka (2024)
- N=2 Double graded supersymmetric quantum mechanics via dimensional reduction
N. Aizawa and V. K. Dobrev (2024)
- Invariant differential operators for non-compact Lie groups: the Sp(n,1) case
N. Aizawa and Ren Ito (2023)
- Integration on minimal Z₂²-superspace and emergence of space
N. Aizawa and H.-T. Sato (2023)
- Hom-Lie-Virasoro symmetries in Bloch electron systems and quantum plane in tight binding models (Erratum)
N. Aizawa, R. Ito, Z. Kuznetsova and F. Toppan (2023)
- New aspects of the Z₂²-graded 1D superspace: induced strings and 2D relativistic models
N. Aizawa (2023)
- Irreducible representations of Z₂²-graded supersymmetry algebra and their applications
N. Aizawa and S. Doi (2022)
- Irreducible representations of Z₂²-graded N=2 supersymmetry algebra and Z₂²-graded supermechanics
N. Aizawa and V. K. Dobrev (2022)
- Invariant differential operators for the Jacobi algebra G₂
S. Doi and N. Aizawa (2022)
- Comments of Z₂²-supersymmetry in superfield formalism
N. Aizawa, V. K. Dobrev and S. Doi (2021)
- Classification of the reducible Verma modules over the Jacobi algebra G₂
S. Doi and N. Aizawa (2021)
- Z₂³-Graded extensions of Lie superalgebras and superconformal quantum mechanics
N. Aizawa, Z. Kuznetsova and F. Toppan (2021)
- Z₂ x Z₂-graded mechanics: the quantization
K. Amakawa and N. Aizawa (2021)
- A classification of lowest weight irreducible modules over Z₂²-graded extension of osp(1|2)
N. Aizawa, K. Amakawa and S. Doi (2021)
- Color algebraic extension of supersymmetric quantum mechanics
N. Aizawa, Z. Kuznetsova and F. Toppan (2020)
- Z₂ x Z₂-graded mechanics: the classical theory
N. Aizawa, K. Amakawa and S. Doi (2020)
- Z₂ⁿ-Graded extensions of supersymmetric quantum mechanics via Clifford algebras
N. Aizawa, P. S. Isaac and J. Segar (2020)
- Z₂ x Z₂ generalizations of infinite dimensional Lie superalgebra of conformal type with complete classification of central extensions
N. Aizawa, K. Amakawa and S. Doi (2020)
- N-Extension of double-graded supersymmetric and superconformal quantum mechanics
N. Aizawa, I. E. Cunha, Z. Kuznetsova and F. Toppan (2019)
- On the spectrum-generating superalgebras of the deformed one-dimensional quantum oscillators
N. Aizawa, P. S. Isaac and J. Segar (2019)
- Z₂ x Z₂ generalizations of N=1 superconformal Galilei algebras and their representations
N. Aizawa (2018)
- Generalization of superalgebras to color superalgebras and their representations
N. Aizawa (2018)
- Verma modules over a Z₂ x Z₂ graded superalgebra and invariant differential equations
N. Aizawa, Z. Kuznetsova and F. Toppan (2018)
- The quasi-nonassociative exceptional F(4) deformed quantum oscillator
N. Aizawa and J. Segar (2017)
- Z₂ x Z₂ generalizations of N=2 super Schrodinger algebras and their representations
N. Aizawa, Z. Kuznetsova, H. Tanaka and F. Toppan (2017)
- Generalized supersymmetry and Levy-Leblond equation
N. Aizawa, Z. Kuznetsova, H. Tanaka and F. Toppan (2016)
- Z₂ x Z₂-graded Lie symmetries of the Levy-Leblond equations
N. Aizawa and J. Segar (2016)
- Aspects of infinite dimensional l-super Galilean conformal algebra
N. Aizawa, Z. Kuznetsova and F. Toppan (2016)
- Invariant PDEs of Conformal Galilei Algebra as deformations: cryptohermiticity and contractions
N. Aizawa, Z. Kuznetsova and F. Toppan (2016)
- Invariant PDEs with two-dimensional exotic centrally extended conformal Galilei symmetry
N. Aizawa and T. Kato (2015)
- Centrally extended conformal Galilei algebras and invariant nonlinear PDEs
N. Aizawa and V. K. Dobrev (2015)
- Intertwining operator realization of anti de Sitter holography
N. Aizawa, Z. Kuznetsova and F. Toppan (2015)
- l-Oscillators from second-order invariant PDEs of the centrally extended Conformal Galilei Algebras
N. Aizawa, R. Chandrashekar and J. Segar (2015)
- Lowest weight representations, singular vectors and invariant equations for a class of conformal Galilei algebras
N. Aizawa, R. Chandrashekar and J. Segar (2015)
- Representations of conformal Galilei algebra with integer spin and an application
N. Aizawa, Y. Kimura and J. Segar (2014)
- Representation of conformal Galilei algebra and invariant equations
N. Aizawa, Y. Kimura and J. Segar (2014)
- Representations of l-conformal Galilei algebra and hierarchy of invariant equation
N. Aizawa, Z. Kuznetsova and F. Toppan (2013)
- Chiral and real N=2 supersymmetric l-conformal Galilei algebras
N. Aizawa, Y. Kimura and J. Segar (2013)
- Intertwining operators for l-conformal Galilei algebras and hierarchy of invariant equations
N. Aizawa and P. Roy (2013)
- Coherent state of the extended Scarf I potential and some of its properties
N. Aizawa (2013)
- Some representations of planar Galilean conformal algebra
N. Aizawa (2013)
- Galilean superconformal algebras with central extension and their realizations
N. Aizawa (2013)
- Some properties of planar Galilean conformal algebras
N. Aizawa, P. S. Isaac and Y. Kimura (2012)
- Highest weight representations and Kac determinants for a class of conformal Galilei algebras with central extension
N. Aizawa (2012)
- N = 2 Galilean superconformal algebras with a central extension
N. Aizawa and V. K. Dobrev (2012)
- Schrodinger algebra and non-relativistic holography
N. Aizawa (2011)
- Lowest weight representations of super Schrodinger algebras in one dimensional space
N. Aizawa and P. S. Isaac (2011)
- On irreducible representations of the exotic conformal Galilei algebra
N. Aizawa (2011)
- Lowest weight representations of super Schrodinger algebras in low dimensional spacetime
N. Aizawa and V. K. Dobrev (2010)
- Intertwining operator realization of non-relativistic holography
N. Aizawa, R. Chakrabarti and J. Segar (2010)
- Noncommutative complex manifolds via coherent states of quantum
  groups and supergroups
N. Aizawa and R. Chakrabarti (2009)
- The coherent state on SU_q(2) homogeneous space
N. Aizawa and R. Chakrabarti (2008)
- Representations of fuzzy torus
N. Aizawa, R. Chakrabarti, S.S. Naina Mohammed and J. Segar (2007)
- Basic hypergeometric functions and covariant spaces for even dimensional representations of U_q[osp(1/2)]
N. Aizawa and R. Chakrabarti (2007)
- Fuzzy torus via q-parafermion
N. Aizawa, M. Harada, M. Kawaguchi and E. Otsuki (2006)
- All link invariants for two dimensional solutions of Yang-Baxter
  equation and dressings
N. Aizawa, R. Chakrabarti, S. S. Naina Mohammed and J. Segar (2006)
- Universal T-matrix, representations of OSp_q(1/2) and
  little Q-Jacobi polynomials
N. Aizawa, R. Chakrabarti and J. Segar (2005)
- Generalized boson algebra and its entangled bipartite coherent states
N. Aizawa and R. Chakrabarti (2005)
- Quantum spheres for OSp_q(1/2)
N. Aizawa and R. Chakrabarti (2004)
- Noncommutative geometry of super-Jordanian OSp_h(2/1) covariant quantum space
N. Aizawa and P. S. Isaac (2003)
- Weak Hopf algebras corresponding to U_q[sl_n]
N. Aizawa, R. Chakrabarti and J. Segar (2003)
- Jordanian quantum superalgebra U_h(osp(2/1))
N. Aizawa, F. J. Herranz, J. Negro and M. A. del Olmo (2002)
- Twisted conformal algebra so(4,2)
N. Aizawa (2002)
- Extension of peripheric extended twists and inhomogeneous Lie algebra
N. Aizawa (2001)
- Twist of Lie algebras by 6-dimensional subalgebra
N. Aizawa (2001)
- Twist of Lie algebras by a rank-3 subalgebra
N. Aizawa (2000)
- Representation functions for Jordanian quantum group SL_h(2) and Jacobi polynomials
N. Aizawa (1999)
- Symplecton for U_h(sl(2)) and representations of SL_h(2)
K. Ishihara and N. Aizawa (1999)
- Newton-Secant method for complex nonlinear equations with
  nondifferentiable terms
N. Aizawa (1998)
- Drinfeld twist for two-parametric deformation of gl(2) and sl(1/2)
N. Aizawa (1998)
- Tensor operators for U_h(sl(2))
N. Aizawa and H. Sato (1997)
- Isospectral Hamiltonians and $ W_1+∞ algebra
N. Aizawa, T. Kobayashi and H. Sato (1997)
- Notes on Curtright-Zachos deformation of osp(1,2) and super Virasoro algebras
N. Aizawa (1997)
- Irreducible decomposition for tensor product representations of Jordanian quantum algebras
N. Aizawa (1995)
- Isomorphisms between quantum group covariant q-oscillator systems
  defined for q and q^-1
N. Aizawa, S. Sachse and H. Sato (1995)
- Laughlin states on the sphere as representations of U_q(sl(2))
N. Aizawa and H. Sato (1994)
- Quantum affine transformation group and covariant differential calculus
N. Aizawa and H. Sato (1994)
- Quantum deformation of the affine transformation algebra
T. Fukui and N. Aizawa (1993)
- Shape-invariant potentials and an associated coherent state
N. Aizawa (1993)
- A classically singular representation of su_q(n)
N. Aizawa (1993)
- Tensor operators and Clebsch-Gordan coefficients of the quantum algebra su_q(1,1)
N. Aizawa (1993)
- q ↔ q^-1 Invariance of q-oscillator and new realizations of quantum algebras
N. Aizawa and M. Hirata (1992)
- Analysis of the ³He (K^-, K⁺) nH reaction by the potential quark model
N. Aizawa and M. Hirata (1991)
- Binding energies of the baryons and dihyperon in the non-relativistic quark model with meson exchange
N. Aizawa and M. Hirata (1991)
- Non-perturbative treatment for the mass splitting between the delta and the nucleon in the non-relativistic quark model
N. Aizawa and H. Sato (1991)
- q-Deformation of the Virasoro algebra with central extension
N. Aizawa and H. Ui (1990)
- q-Analogue of boson commutator and the quantum groups SU_q(2) and SU_q(1,1)