publication . Preprint . Article . 2008

Quantum Thetas on Noncommutative T^d with General Embeddings

Ee Chang-Young; Hoil Kim;
Open Access English
  • Published: 26 Feb 2008
Abstract
Comment: LaTeX 22 pages
Subjects
free text keywords: Mathematical Physics, Modelling and Simulation, Statistics and Probability, General Physics and Astronomy, Statistical and Nonlinear Physics, Pure mathematics, Holomorphic function, Vector space, Quantum, Torus, Mathematical analysis, Finite group, Noncommutative geometry, Theta function, Embedding, Mathematics
Related Organizations

[1] A. Schwarz, Theta-functions on noncommutative tori, Lett. Math. Phys. 58, 81 (2001).

[2] Y. Manin, Quantized theta-functions in: Common trends in mathematics and quantum field theories (Kyoto, 1990), Progress of Theor. Phys. Suppl. 102, 219 (1990).

[3] Y. Manin, Theta functions, quantum tori and Heisenberg groups, math.AG/0011197.

[4] Y. Manin, Real multiplication and noncommutative geometry, math.AG/0202109.

[5] Y. Manin, Functional equations for quantum theta functions, math.QA/0307393.

[6] M. Rieffel, Projective modules over higher-dimensional non-commutative tori, Can. J. Math. Vol. XL, 257 (1988). [OpenAIRE]

[7] M. Dieng and A. Schwarz, Differential and complex geometry of two-dimensional noncommutative tori, QA/0203160.

[8] M. Rieffel and A. Schwarz, Morita equivalence of multidimensional noncommutative tori, Int. J. Math. 10, 289 (1999).

[9] Ee C.-Y. and H. Kim, Symmetry of quantum torus with crossed product algebra, J. Math. Phys. 47, 073058 (2006).

[10] Ee C.-Y. and H. Kim, Quantum Thetas on Noncommutative T4 from Embeddings into Lattice, math-ph/0605075.

[11] H. Kim and C.-Y. Lee, Theta functions on noncommutative T 4, J. Math. Phys. 45, 461 (2004).

[12] Ee C.-Y. and H. Kim, Theta vectors and quantum theta functions, J. Phys. A 38, 4255 (2005).

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publication . Preprint . Article . 2008

Quantum Thetas on Noncommutative T^d with General Embeddings

Ee Chang-Young; Hoil Kim;