Generalized bruhat order on reductive monoids
WebLet (W, S) be a Coxeter system. We investigate combinatorially certain partial orders, called extended Bruhat orders, on a (W x W)-set W(N,C), which depends on W, a subset N of S, and a component C of N. We determine the length of the maximal chains between two elements. These posets generalize W equipped with its Bruhat order. They include the … WebThe corresponding problem for singular matrices is much more subtle. We study this problem in the general setting of a reductive monoid and obtain a solution in terms of the Bruhat-Chevalley order. In the process we obtain a decomposition of the big cell B-B of a reductive monoid, where B and B- are opposite Borel subgroups of the unit group.
Generalized bruhat order on reductive monoids
Did you know?
WebThe II-order on .M has been determined explicitly in much detail by the second and third named authors for a large class of reductive monoids wx8 . The Adherence Order on … WebGeneralized Tits System (Bruhat Decomposition) on p-Adic Semisimple Groups . BY NAGAYOSHI IWAHORI . 1. Generalized Tits system. In order to describe the situation where the algebraic group G is not simply connected (cf. Bruhat's talk; also see [31 [8]). we have to generalize the notion of Tits system (or BN-pair, see Tits [13]) as follows. Let G …
WebAug 30, 2001 · The purpose of this paper is to extend to monoids the work of Björner, Wachs and Proctor on the shellability of the Bruhat-Chevalley order on Weyl groups. WebOct 15, 1997 · E. A. Pennell, 1995, Generalized Bruhat Order on a Reductive Monoid, North Carolina State University, Raleigh. Google Scholar. 6. M.S. Putcha. ... Analogue of …
WebAug 12, 2014 · By using the theory of linear algebraic monoids, we introduce a new class of spherical embeddings of symmetric varieties. Along the way we determine when an antiinvolution on a semisimple linear... WebJan 17, 1998 · Bruhat order, nil-Coxeter monoid, flag ma nifold, Gra s smannian. Bergero n supp orted in pa rt by CRM, MSRI, and NSERC. Sottile supp orted in part by NSF grant …
WebLinear Algebraic Monoids - u.cs.biu.ac.il
WebDec 1, 2006 · Abstract. This paper concerns Bruhat intersections for a reductive monoid M. A comparison is made to the known results for Bruhat intersections for a reductive … the cake bekah brunstetter scriptWebJul 1, 2004 · The purpose of this paper is to extend to monoids the work of Bjorner, Wachs and Proctor on the shellability of the Bruhat-Chevalley order on Weyl groups. Let M be … tatiana bailey uccsWebLet M be a reductive monoid with unit group G. Let Λ denote the idempotent cross-section of the G × G-orbits on M. If W is the Weyl group of G and e, f ∈ Λ with e ≤ f, we introduce a projection map from WeW to WfW. We use these projection maps to obtain a new … the cake blog cactus cakeWebSubmitter Your Name Your Email Address. STOP! This form is to be used only to make corrections to the data below. That is, the data in the form below will be replaced by what you enter. To add information about an individual not in the database, please use the new data form.. Student Identifying information ID 1058 Given Name the cake bake shop hoursWebIt is shown by Putcha in [12] that the Kazhdan-Lusztig involution ([6]) can be extended to the orbit Hecke algebra which enables one to define the R-polynomials of the intervals contained in a given orbit. Using the R-polynomials, we calculate the Möbius function of the Bruhat-Chevalley ordering on the orbits. tatiana banks errol lindseys daughterWeb340 PENNELL, PUTCHA, AND RENNER In the case of reductive groups, a similar order relation was first studied by Chevalley. Since then Tits 13 developed the notion of a ‘‘BN pai tatiana banks: errol lindsey\u0027s daughterWebTo do this we first identify the $B\,\times \,B$-orbits using the generalized Bruhat decomposition of a reductive monoid. From there we show how each cell is made up from $B\,\times \,B$-orbits. Keywords 14L3014M1720M17 Type Research Article Information Canadian Mathematical Bulletin, Volume 46, Issue 1, 01 March 2003, pp. 140 - 148 tatiana berry cigars