搜索结果: 1-14 共查到“数学 quantum groups”相关记录14条 . 查询时间(0.25 秒)
Let S be a monoidal category with equalizers that are preserved by the tensor
product. The notion of categories internal to S is defined, generalizing the notions
of monoid and comonoid in S, and ex...
The classical identities between the q-binomial coefficients and factorials can be gener-
alized to a context where numbers are replaced by braids. More precisely, for every pair i, n of
natural num...
In this paper we realize some powers of Dedekind \eta-function as the trace of an operator on quantum coordinate algebras.
Completely positive multipliers of quantum groups
Locally compact quantum group manageable multiplicative unitary completely bounded multiplier
2011/9/21
Abstract: We show that any completely positive multiplier of the convolution algebra of the dual of an operator algebraic quantum group $\G$ (either a locally compact quantum group, or a quantum group...
Completely bounded representations of convolution algebras of locally compact quantum groups
Locally compact quantum group Fourier algebra completely bounded homomorphism corepresentation amenability
2011/9/1
Abstract: Given a locally compact quantum group $\G$, we study the question of when completely bounded homomorphisms $\pi:L^1(\mathbb G)\rightarrow\mathcal B(H)$ are similar to *-homomorphisms. By ana...
A generalized Steinberg section and branching rules for quantum groups at roots of 1
generalized Steinberg section branching rules quantum groups
2011/8/23
Abstract: In this paper we construct a generalization of the classical Steinberg section for the quotient map of a semisimple group with respect to the conjugation action. We then give various applica...
Manin triples and differential operators on quantum groups
Manin triples differential operators quantum groups
2011/1/18
Let (a,m, l) be a Manin triple, and let M, L be algebraic groups with Lie algebras m, l respectively. We point out that the product M×L carries a natural structure of Poisson manifold,whose Poisson te...
Integrable defects in affine Toda field theory and infinite dimensional representations of quantum groups
Integrable defects affine Toda field theory infinite dimensional representations quantum groups
2011/3/3
Transmission matrices for two types of integrable defect are calculated explicitly, first by solving directly the nonlinear transmission Yang-Baxter equations.
On Square Roots of the Haar State on Compact Quantum Groups
Compact quantum group Haar state normal subgroup
2011/1/20
The paper is concerned with the extension of the classical study of probability measures on a compact group which are square roots of the Haar measure, due to Diaconis and Shahshahani, to the context ...
Path subcoalgebras, finiteness properties and quantum groups
incidence coalgebra path coalgebra co-Frobenius coalgebra quasi-co-Frobenius coalgebra
2011/2/24
We study subcoalgebras of path coalgebras that are spanned by paths (called path subcoalgebras) and subcoalgebras of incidence coalgebras, and propose a unifying approach
for these classes.
We introduce some equivalent notions of homomorphisms between quantum groups that behave well with respect to duality of quantum groups. Our equivalent definitions are based on bicharacters, coactions...
Operator algebra quantum groups of universal gauge groups
Operator algebra quantum groups universal gauge groups
2010/11/11
In this paper, we quantize universal gauge groups such as SU(\infty), in the sigma-C*-algebra setting. More precisely, we propose a concise definition of sigma-C*-quantum groups and explain the conce...
Topological invariants from non-restricted quantum groups
Topological invariants non-restricted quantum groups
2010/12/9
We introduce the notion of a relative spherical category. We prove that such a category
gives rise to the generalized Kashaev and Turaev-Viro-type 3-manifold invariants de ned in [12] and [17], respe...
We give a construction of a Dirac operator on a quantum group based on any simple Lie algebra
of classical type. The Dirac operator is an element in the vector space clq(g) U q(g), where the first t...