SPECIAL CYCLES ON UNITARY SHIMURA VARIETIES WITH MINUSCULE
WITH MINUSCULE PARAHORIC LEVEL STRUCTURE SUNGYOON CHO Abstract In this paper, we formulate conjectural formulas for the since Z-cycle is empty when h(x,x) has
Path Models for the Basic Representation of an Affine Lie Algebra
z as a “crystal Demazure operator” acting on sets of paths Littelmann proves [18] that the formal character of Bˆ z(π) is equal to the character of Vˆ z(Λ), and π is the unique dominant path Now supposez = t−λ∨, an anti-dominant translation in the affine Weyl group W,sothatVˆ λ∨(Λ) := Vˆ z(Λ) is a g-submodule of Vˆλ
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On Minuscule Representations and the Principal SL
The Weyl group NG(T)/T = W of T acts on the set of minuscule coweights, and the W-orbits are represented by the dominant minuscule coweights These have been classified Proposition 1 2 ([D, 1 2]) The element λ is a dominant, minuscule coweight if and only if there is a single simple root α with hλ,αi = 1, the root α has multiplicity 1 in the
On the Minuscule Representation of Types and
these representations, minuscule representations play an important role It is known that the minuscule representations of simple Lie algebras are irre-ducible My goal is to show the irreducibility of a minuscule representation using only the cycle structures of the Weyl group elements viewed as permutations acting
Formulae relating the Bernstein and Iwahori-Matsumoto
there for the case where is a minuscule coweight More recently, O Schi mann [16] has given explicit formulae for all elements in a certain basis for the center Z(H) of an a ne Hecke algebra H of type A; from this one can derive a formula for the Bernstein function z , where is any dominant coweight of a group of type A
G-VALUED CRYSTALLINE REPRESENTATIONS WITH MINUSCULE p-ADIC
A) over Aof type with minuscule, then there exists a canonical extension ˆe: KG(A) and furthermore if Ais at over Z p then eˆ[1=p] is crystalline This is rough in the sense that what we actually prove is an isomorphism of certain deformation functors As a consequence, we get that the local structure of Xcris; at a point (P F0;˚ F0) 2X
On the minuscule representation of type
On the minuscule representation of type B n William J Cooky and Noah A Hughesz April 23, 2014 Abstract Using only sl 2 representation theory, we construct the set of weights of the minuscule representation of type B n (also known as the spin representation) We then derive formulas for the simple re ections viewed as permutations of the weights
ON DOMINANCE AND MINUSCULE WEYL GROUP ELEMENTS
P¡ ›ZR(respectively Pe ¡ ›ZR) and not just in P¡ (respectively Pe ¡) Second, we consider all Coxeter groups, not just finite and affine ones For example, in the first direction, if ‚ 2 P¡ ›ZR, the notion of ‚-minuscule Weyl group element should be generalized accordingly: w 2 W is ‚-minuscule if there exists
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specified location Alt- Click: Flip an abandoned bot You will always have to click again to move it Ctrl - Click: Force yourself and your bots to move to the specified location The pathfinder won't work here Letters a-z (minuscule): Adds the specified character to your message For now, it will not show up Entry: Sends the typed message
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