منابع مشابه
Yangian of the Queer Lie Superalgebra
Consider the complex matrix Lie superalgebra glN|N with the standard generators Eij where i, j = ±1 , . . . ,±N . Define an involutory automorphism η of glN|N by η (Eij) = E−i,−j . The twisted polynomial current Lie superalgebra g = {X(u) ∈ glN|N [u] : η (X(u)) = X(−u) } has a natural Lie co-superalgebra structure. We quantise the universal enveloping algebra U(g) as a co-Poisson Hopf superalge...
متن کاملCentralizer construction of the Yangian of the queer Lie superalgebra
The enveloping algebra U(g) of the Lie superalgebra g has a deformation, called the Yangian of qN . For each M = 1 ,2 , . . . denote by A M N the centralizer of qM ⊂ qN+M in the associative superalgebra U(qN+M ) . We construct a sequence of surjective homomorphisms U(qN ) ← A 1 N ← A 2 N ← . . . . We describe the inverse limit of the sequence of centralizer algebras A1N ,A 2 N , . . . in terms ...
متن کاملTypical blocks of the category O for the queer Lie superalgebra
We study of the category O for the queer Lie superalgebra q(n), and the corresponding block decomposition induced by infinitesimal central characters. In particular, we show that the so-called typical blocks correspond to standardly stratified algebras, in the sense of Cline, Parshall and Scott. By standard arguments for Lie algebras, modified to the superalgebra situation, we prove that these ...
متن کاملA Duality of a Twisted Group Algebra of the Hyperoctahedral Group and the Queer Lie Superalgebra
We establish a duality relation (Theorem 4.2) between one of the twisted group algebras, of the hyperoctahedral group Hk (or the Weyl group of type Bk) and a Lie superalgebra q(n0)⊕ q(n1) for any integers k ≥ 4 and n0, n1 ≥ 1. Here q(n0) and q(n1) denote the “queer” Liesuperalgebras as called by some authors. The twisted group algebra B′ k in focus in this paper belongs to a different cocycle f...
متن کاملthe structure of lie derivations on c*-algebras
نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
15 صفحه اولذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1999
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s002200050754