Deformations of the discrete Heisenberg group

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Automorphisms of the Discrete Heisenberg Group

This note describes some computational results that were obtained while studying the associated group of automorphisms Aut(H), [2]. Specifically, we give an explicit description of a splitting of this group as an extension of GL(2,Z) by Z. That such a splitting exists could, in principle, be shown by computing a 2-cocycle for the extension and showing that it represents 0 in the cohomology grou...

متن کامل

Discrete Heisenberg-Weyl Group and Modular Group

It is shown that the generators of two discrete Heisenberg-Weyl groups with irrational rotation numbers θ and −1/θ generate the whole algebra B of bounded operators on L2(R). The natural action of the modular group in B is implied. Applications to dynamical algebras appearing in lattice regularization and some duality principles are discussed. Writing a contribution to a memorial volume one alw...

متن کامل

The Noncommutative Geometry of the Discrete Heisenberg Group

Motivated by the search for new examples of “noncommutative manifolds”, we study the noncommutative geometry of the group C*-algebra of the three dimensional discrete Heisenberg group. We present a unified treatment of the K-homology, cyclic cohomology and derivations of this algebra. 1. The discrete Heisenberg group Recently, there has been considerable interest in the notion of a “noncommutat...

متن کامل

Twist deformations for generalized Heisenberg algebras

Multidimensional Heisenberg algebras, whose creation a+ and annihilation a operators are the n-dimensional vectors, can be injected into simple Lie algebras g. It is demonstrated that the spectrum of their deformations can be investigated using chains of extended Jordanian twists applied to U(g). In the case of U(sl(N)) (for N > 5 ) the two-dimensional Heisenberg subalgebras H̃ have nine deforme...

متن کامل

Discrete Weyl–Heisenberg transforms

Related Articles On the Birkhoff factorization problem for the Heisenberg magnet and nonlinear Schrödinger equations J. Math. Phys. 47, 063501 (2006) Quaternionic root systems and subgroups of the Aut(F4) J. Math. Phys. 47, 043507 (2006) A note on monopole moduli spaces J. Math. Phys. 44, 3517 (2003) Dirichlet forms and symmetric Markovian semigroups on CCR algebras with respect to quasi-free s...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences

سال: 2013

ISSN: 0386-2194

DOI: 10.3792/pjaa.89.55