منابع مشابه
Quantum Groups and Q-lattices in Phase Space
Quantum groups lead to an algebraic structure that can be realized on quantum spaces. These are noncommutative spaces that inherit a well deened mathematical structure from the quantum group symmetry. In turn such quantum spaces can be interpreted as noncom-mutative connguration spaces for physical systems which carry a symmetry like structure. These connguration spaces will be generalized to n...
متن کاملQuantum Groups, q-Dynamics and Rajaji
We sketch briefly the essentials of the quantum groups and their application to the dynamics of a q-deformed simple harmonic oscillator moving on a quantum line, defined in the q-deformed cotangent (momentum phase) space. In this endeavour, the quantum group GL qp (2)-and the conventional rotational invariances are respected together. During the course of this discussion, we touch upon Rajaji's...
متن کاملQuantum Groups, q-Dynamics and Rajaji
We sketch briefly the essentials of the quantum groups and their application to the dynamics of a q-deformed simple harmonic oscillator moving on a quantum line, defined in the q-deformed cotangent (momentum phase) space. In this endeavour, the quantum group GL qp (2)-and the conventional rotational invariances are respected together. During the course of this discussion, we touch upon Rajaji's...
متن کاملQUANTUM GROUPS AND q - SPECIAL FUNCTIONS
The lecture notes contains an introduction to quantum groups, q-special functions and their interplay. After generalities on Hopf algebras, orthogonal polynomials and basic hypergeometric series we work out the relation between the quantum SU(2) group and the Askey-Wilson polynomials out in detail as the main example. As an application we derive an addition formula for a two-parameter subfamily...
متن کاملBraids, Q-binomials and Quantum Groups
The classical identities between the q-binomial coefficients and factorials can be generalized to a context where numbers are replaced by braids. More precisely, for every pair i, n of natural numbers, there is defined an element b (n) i of the braid group algebra kBn, and these satisfy analogs of the classical identities for the binomial coefficients. By choosing representations of the braid g...
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ژورنال
عنوان ژورنال: Nuclear Physics B - Proceedings Supplements
سال: 1996
ISSN: 0920-5632
DOI: 10.1016/0920-5632(96)00314-3