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Options of traveling to Nankai University NOTE: On Sept 4, CIM will organize 3 buses to Beijing airport to pick up the participants (morning, noon and evening). Once you book your flight, please let...
Open-string vertex algebras, tensor categories and operads
Open-string vertex algebras tensor categories operads
2015/3/25
We introduce notions of open-string vertex algebra, conformal open-string vertex algebra and variants of these notions. These are ``open-string-theoretic,'' ``noncommutative'' generalizations of the n...
Autoequivalences of the tensor category of Uq(g)-modules
Autoequivalences tensor category of Uq(g)-modules
2011/2/24
We prove that for q 2 C not a nontrivial root of unity the cohomology group defined by invariant 2-cocycles in a completion of Uqg is isomorphic to H2(P/Q; T), where P and Q are the weight and root l...
CleGo: A package for automated computation of Clebsch-Gordan coefficients in Tensor Product Representations for Lie Algebras A - G
CleGo Clebsch-Gordan coefficients Tensor Product Representations Lie Algebras A - G
2010/11/23
We present a program that allows for the computation of tensor products of irreducible representations of Lie algebras A-G based on the explicit construction of weight states. This straightforward ap...
Weak Tensor Category and Related generalized Hopf algebras
Weak tensor category Weak Hopf algebra Pre-Hopf algebra Strictization
2007/12/12
There are at least two kinds of generalization of Hopf algebra, i.e. pre-Hopf algebra and weak Hopf algebra. Correspondingly, we have two kinds of generalized bialgebras, almost bialgebra and weak bia...
From random sets to continuous tensor products: answers to three questions of W. Arveson
continuous tensor products W. Arveson
2010/10/29
The set of zeros of a Brownian motion gives rise to a product system in the sense of William Arveson (that is, a continuous tensor product system of Hilbert spaces). Replacing the Brownian motion with...