• 63 Citations
  • 5 h-Index
19962010
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Research Output 1996 2010

  • 63 Citations
  • 5 h-Index
  • 13 Article
  • 4 Chapter
  • 1 Conference contribution
Filter
Article
2010
1 Citation (Scopus)

On non(anti)commutative super twistor spaces

Taniguchi, T. & Miyazaki, N., 2010 Jun, In : International Journal of Geometric Methods in Modern Physics. 7, 4, p. 655-668 14 p.

Research output: Contribution to journalArticle

proposals
algebra
products
2007
1 Citation (Scopus)
automorphisms
bundles
algebra
stars
products
2 Citations (Scopus)

Noncommutative minkowski space and transcendental calculus

Omori, H., Maeda, Y., Miyazaki, N. & Yoshioka, A., 2007, In : Progress of Theoretical Physics Supplement. 171, p. 184-195 12 p.

Research output: Contribution to journalArticle

Minkowski space
calculus
exponential functions
matrices
algebra
13 Citations (Scopus)

Orderings and non-formal deformation quantization

Omori, H., Maeda, Y., Miyazaki, N. & Yoshioka, A., 2007 Dec, In : Letters in Mathematical Physics. 82, 2-3, p. 153-175 23 p.

Research output: Contribution to journalArticle

Deformation Quantization
algebra
Abstract algebra
Poisson Algebra
Transcendental
2006

On the integrability of deformation quantized toda lattice

Miyazaki, N., 2006 May, In : Acta Applicandae Mathematicae. 92, 1, p. 21-36 16 p.

Research output: Contribution to journalArticle

Toda Lattice
Integrability
Hamiltonian Formalism
Hamiltonians
Deformation Quantization
2005

Preface

Maeda, Y., Miyazaki, N., Sternheimer, D., Tose, N. & Watamura, S., 2005, In : Unknown Journal.

Research output: Contribution to journalArticle

2003
14 Citations (Scopus)

Strange phenomena related to ordering problems in quantizations

Omori, H., Maeda, Y., Miyazaki, N. & Yoshioka, A., 2003, In : Journal of Lie Theory. 13, 2, p. 481-510 30 p.

Research output: Contribution to journalArticle

Quantization
Covering Space
Complexification
Weyl Algebra
Quadratic form
1998
5 Citations (Scopus)

Deformation Quantizations of the Poisson Algebra of Laurent Polynomials

Omori, H., Maeda, Y., Miyazaki, N. & Yoshioka, A., 1998 Oct 2, In : Letters in Mathematical Physics. 46, 2, p. 171-180 10 p.

Research output: Contribution to journalArticle

Deformation Quantization
Poisson Algebra
Laurent Polynomials
polynomials
algebra
2 Citations (Scopus)

Noncommutative 3-sphere: A model of noncommutative contact algebras

Omori, H., Maeda, Y., Miyazaki, N. & Yoshioka, A., 1998, In : Journal of the Mathematical Society of Japan. 50, 4, p. 915-943 29 p.

Research output: Contribution to journalArticle

Contact
Algebra
Model
Integral Transformation
Oscillatory Integrals
Graph in graph theory
Class
9 Citations (Scopus)

Poincaré-Cartan class and deformation quantization of Kähler manifolds

Omori, H., Maeda, Y., Miyazaki, N. & Yoshioka, A., 1998, In : Communications in Mathematical Physics. 194, 1, p. 207-230 24 p.

Research output: Contribution to journalArticle

Deformation Quantization
Class
Principal Bundle
Complex Manifolds
bundles
1997
1 Citation (Scopus)

A Remark on the Maslov Form on the Group Generated by Invertible Fourier Integral Operators

Miyazaki, N., 1997 Oct 1, In : Letters in Mathematical Physics. 42, 1, p. 35-41 7 p.

Research output: Contribution to journalArticle

Fourier Integral Operators
determinants
Invertible
Infinite-dimensional Lie Group
operators
1996
3 Citations (Scopus)

On regular fréchet-lie group of invertible inhomogeneous fourier integral operators on Rn

Miyazaki, N., 1996 Jan 1, In : Tokyo Journal of Mathematics. 19, 1, p. 1-38 38 p.

Research output: Contribution to journalArticle

Fourier Integral Operators
Invertible