The purpose of this paper is to provide the TTF-theories and investigate the comparisons of recollements(one-sided recollements) both induced by the BB-tilting modules.
类型 A 的每扩大仿射的谎言代数学 1 并且有扩大的仿射的根系统 R 的无效(一 1， S ) ， S 是在在哪儿的 semilattice？，能从被所谓的 Tits-Kantor-Koecher 构造从约旦代数学 J (S) 获得的 TKK 谎言代数学 T (J (S)) 被构造。在这篇文章，我们考虑吗？n 分级 TKK 谎言代数学 T (J (S)) 的自守组，在 S 是在欧几里德几何学的空间的最小的 semilattice 的地方吗？n。
In this paper,the representation theory for the affine Lie algebra H4 associated to the Nappi-Witten Lie algebra H4 is studied.Polynomial representations of the affine Nappi-Witten Lie algebra H4 are given.
In this paper,we prove that if a triangulated category D admits a recollement relative to triangulated categories D' and D″,then the abelian category D/T admits a recollement relative to abelian categories D'/i(T) and D″/j(T) where T is a cluster tilting subcategory of D and satisfies i i (T) T,j j (T) T.
LIN YaNan 1 & WANG MinXiong 1,2,1 School of Mathematical Sciences,Xiamen University,Xiamen 361005,China
In this paper, we give explicit realizations for the irreducible integrable modules, which were clas- sified in Chang and Tan [Pacific J Math, 2011, 252: 293-312], of the extended baby TKK algebra. Moreover, conditions for these modules to be unitary are determined.
We consider a category of continuous Hilbert space representations and a category of smooth Fr'echet representations,of a real Jacobi group G.By Mackey's theory,they are respectively equivalent to certain categories of representations of a real reductive group L.Within these categories,we show that the two functors that take smooth vectors for G and for L are consistent with each other.By using Casselman-Wallach's theory of smooth representations of real reductive groups,we define matrix coefficients for distributional vectors of certain representations of G.We also formulate Gelfand-Kazhdan criteria for real Jacobi groups which could be used to prove multiplicity one theorems for Fourier-Jacobi models.
