搜索结果: 1-13 共查到“数学基础 W - algebras”相关记录13条 . 查询时间(0.031 秒)
Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras
The coefficient matrix and symmetric function hopf algebra
2015/7/7
We identify two seemingly disparate structures: supercharacters, a useful way of doing Fourier analysis on the group of unipotent uppertriangular matrices with coefficients in a fi-nite ...
On the Relative Weak Asymptotic Homomorphism Property for Pairs of Groups von Neumann Algebras
the Relative Weak Asymptotic Homomorphism Property Pairs Groups von Neumann Algebras
2010/11/9
We provide a direct and elementary proof of the equivalence between the weak asymptotic homomorphism property for the pair of group von Neumann algebras $L(H)\subset L(G)$ and the embedding into $H$ ...
Introduction to Normed *-Algebras and their Representations, 7th ed
Introduction Normed *-Algebras Representations
2010/11/11
This book treats: - spectral theory of Banach *-algebras, - basic representation theory of normed *-algebras, - spectral theory of representations of commutative *-algebras. A novel feature of the boo...
Let $A_{n}(S)$ be a coefficient free cluster algebra over a field $K$. A cluster automorphism is an element of $Aut._{K}K(t_{1}, t_{2},..., t_{n})$ which leaves the set of all cluster variables, $\xi_...
Algebras graded by discrete Doi-Hopf data and the Drinfeld double of a Hopf group-coalgebra
Algebras discrete Doi-Hopf data the Drinfeld double
2010/11/9
We study Doi-Hopf data and Doi-Hopf modules for Hopf group-coalgebras. We introduce modules graded by a discrete Doi-Hopf datum; to a Doi-Hopf datum over a Hopf group coalgebra, we associate an algebr...
Arens Regularity of Tensor Products and Weak Amenability of Banach Algebras
Arens Regularity of Tensor Products Weak Amenability of Banach Algebras
2010/11/9
In this note, we study the Arens regularity of projective tensor product $A\hat{\otimes}B$ whenever $A$ and $B$ are Arens regular. We establish some new conditions for showing that the Banach algebra...
Free Products and the Lack of State Preserving Approximations of Nuclear C*-algebras
Free Products Nuclear C*-algebras
2010/11/17
Let $A$ be a homogeneous C*-algebra and $\phi$ a state on $A.$ We show that if $\phi$ satisfies a certain faithfulness condition, then there is a net of finite-rank, unital completely positive, $\phi...
Alternative twisted tensor products and Cayley algebras
twisted tensor products Cayley algebras
2010/11/15
We introduce what we call "alternative twisted tensor products" for not necessarily associative algebras, as a common generalization of several different constructions: the Cayley-Dickson process, th...
Category of fibrant objects is a convenient framework to do homotopy theory, introduced and developed by Ken Brown. In this paper, we apply it to the category of C^{*}-algebras. In particular, we get...
Some Generalized Kac-Moody Algebras With Known Root Multiplicities
Generalized Kac-Moody Algebras Known Root Multiplicities
2010/10/29
Starting from Borcherds' fake monster Lie algebra we construct a sequence of six generalized Kac-Moody algebras whose denominator formulas, root systems and all root multiplicities can be described e...
Lattices and Parameter Reduction in Division Algebras
Lattices Parameter Reduction Division Algebras
2010/10/29
Let k be an algebraically closed field of characteristic 0 and let D be a division algebra whose center F contains k. We shall say that D can be reduced to r parameters if D = D_0 tensor_{F_0} F, whe...
Cyclic homology of commutative algebras over general ground rings
Cyclic homology commutative algebras general ground rings
2010/11/1
We consider commutative algebras and chain DG algebras over a fixed commutative ground ring $k$ as in the title. We are concerned with the problem of computing the cyclic (and Hochschild) homology of...
Frobenius_infinity invariants of homotopy Gerstenhaber algebras I
Frobenius_infinity invariants homotopy Gerstenhaber algebras
2010/10/29
We construct a functor from the derived category of homotopy Gerstenhaber algebras with finite-dimensional cohomology to the purely geometric category of so-called $F_{\infty}$-manifolds. The latter ...