✦ LIBER ✦

On braided poisson and quantum inhomogeneous groups

✍ Scribed by S. Zakrzewski

Book ID: 110428072
Publisher: Springer
Year: 1997
Tongue: English
Weight: 348 KB
Volume: 47
Category: Article
ISSN: 0011-4626
DOI: 10.1023/a:1022889919222

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Braided bosonization and inhomogeneous q

Braided bosonization and inhomogeneous quantum groups

✍ Bernhard Drabant 📂 Article 📅 1996 🏛 Springer Netherlands 🌐 English ⚖ 731 KB

We consider quasitriangular Hopf algebras in braided tensor categories introduced by Majid. It is known that a quasitriangular Hopf algebra H in a braided monoidal category C induces a braiding in a full monoidal subcategory of the category of H-modules in C. Within this subcategory, a braided versi

Braided Groups and Quantum Fourier Trans

Braided Groups and Quantum Fourier Transform

✍ V. Lyubashenko; S. Majid 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 908 KB

We show that acting on every finite-dimensional factorizable ribbon Hopf algebra \(H\) there are invertible operators \(\mathscr{S}_{-}, \mathscr{T}\) obeying the modular identities \(\left(\mathscr{S}_{-} \mathscr{T}\right)^{3}=\lambda \mathscr{P}^{2}\), where \(\lambda\) is a constant. The class i

Phase Retrieval for Probability Distribu

Phase Retrieval for Probability Distributions on Quantum Groups and Braided Groups

✍ Uwe Franz; Daniel Neuenschwander; René Schott 📂 Article 📅 1999 🏛 Springer US 🌐 English ⚖ 411 KB

Braided groups and algebraic quantum fie

Braided groups and algebraic quantum field theories

✍ Shahn Majid 📂 Article 📅 1991 🏛 Springer 🌐 English ⚖ 426 KB 👁 1 views

We introduce the notion of a braided group. This is analogous to a supergroup with Bose-Fermi statistics \_\_+ l replaced by braid statistics. We show that every algebraic quantum field theory in two dimensions leads to a braided group of internal symmetries. Every quantum group can be viewed as a b

Braided Identities, Quantum Groups, and

Braided Identities, Quantum Groups, and Clifford Algebras

✍ César Bautista 📂 Article 📅 2001 🏛 Springer 🌐 English ⚖ 67 KB

Braids,q-Binomials, and Quantum Groups

✍ Marcelo Aguiar 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 414 KB 👁 1 views

The classical identities between the q-binomial coefficients and factorials can be generalized to a context in which numbers are replaced by braids. More precisely, for every pair i, n of natural numbers, there is defined an element b Ž n. of the braid i group algebra kB , and these satisfy analogs