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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Higher dimensional Heegaard Floer homology and Hecke algebras
高维 希加德弗洛尔同调 赫克代数
2023/4/18
Higher dimensional Heegaard Floer homology (HDHF) is a higher dimensional analogue of Heegaard Floer homology in dimension three. It's partly used to study contact topology in higher dimensions. In a ...
Enhanced Gauge Groups in N=4 Topological Amplitudes and Lorentzian Borcherds Algebras
Gauge Groups Topological Amplitudes Lorentzian Borcherds Algebras
2011/9/30
Abstract: We continue our study of algebraic properties of N=4 topological amplitudes in heterotic string theory compactified on T^2, initiated in arXiv:1102.1821. In this work we evaluate a particula...
Yokonuma-Temperley-Lieb Algebras
Yokonuma-Temperley-Lieb algebras Yokonuma-Hecke algebras Inductive basis
2011/1/19
n this paper we construct the Yokonuma-Temperley-Lieb algebra as a quotient of the Yokonuma-Hecke algebra. We then give a canonical basis for this algebra and we define a linear Markov trace function....
Kernels of representations and coideal subalgebras of Hopf algebras
Kernels of representations coideal subalgebras of Hopf algebras
2011/1/21
We define left and right kernels of representations of Hopf algebras. In the case of group algebras, left and right kernels coincide and they are the usual kernels of modules.
On the conjugacy of pure imaginary elements of quaternion algebras and Cayley algebras
quaternion algebras Cayley algebras
2010/11/9
In the quatenions ($\H$, $\H'$, $\H^{C}$) and octonions ($\gC$, $\gC^\prime$, $\gC^C$), we show some results on the conjugacy of two pure imaginary non-zero elements with same norm.
Operator system structures on the unital direct sum of C*-algebras
Operator system structures direct sum of C*-algebras
2010/11/11
This work is motivated by R\u{a}dulescu's result on the comparison of C*-tensor norms on C*(F_n)\otimes C*(F_n).
For unital C*-algebras A and B, there are natural inclusions of A and B into the unit...
Gaussian concentration of the q-characters of the Hecke algebras of type A
Gaussian concentration q-characters of the Hecke algebras type A
2010/12/9
We show that with respect to the q-Plancherel measure on partitions of size n, the irreducible
characters of an Hecke algebra Hq(Sn) are concentrated around the normalized trace of Hq(Sn). More preci...
DJKM algebras I: Their Universal Central Extension
Krichever-Novikov Algebras Landau-Lifshitz differential equation Date-Jimbo-Miwa-Kashiwara algebras universal central extension
2010/11/30
The purpose of this paper is to explicitly describe in terms of generators and relations the universal central extension of the infinite dimensional Lie algebra, g C[t, t−1, u|u2 = (t2 −...