Results 11 to 20 of about 53 (35)

Cocompact lattices in locally pro-p-complete rank-2 Kac-Moody groups [PDF]

, 2020
We initiate an investigation of lattices in a new class of locally compact groups: so-called locally pro-p-complete Kac-Moody groups. We discover that in rank 2 their cocompact lattices are particularly well- behaved: under mild assumptions, a cocompact ...
A. Borel, D. A. Rumynin, E. Hewitt, I. Capdeboscq, I. M. Gel'fand, I. M. Gel'fand, J. Tits, K. Hristova   +7 more
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Generic bases for cluster algebras and the Chamber Ansatz [PDF]

, 2011
Let Q be a finite quiver without oriented cycles, and let $\Lambda$ be the corresponding preprojective algebra. Let g be the Kac-Moody Lie algebra with Cartan datum given by Q, and let W be its Weyl group.
Geiß, Christof, Leclerc, Bernard, Schröer, Jan   +2 more
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Principal series representations of Iwahori–Hecke algebras for Kac–Moody groups over local fields [PDF]

, 2022
International audienceRecently, Iwahori-Hecke algebras were associated to Kac-Moody groups over non-Archimedean local fields. We introduce principal series representations for these algebras.
Hébert, Auguste
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On Koszul duality for Kac-Moody groups [PDF]

, 2011
For any Kac-Moody group G with Borel B, we give a monoidal equivalence between the derived category of B-equivariant mixed complexes on the flag variety G/B and (a certain completion of) the derived category of G[superscript V]-monodromic mixed complexes
Bezrukavnikov, Roman, Yun, Zhiwei
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Smooth locus of twisted affine Schubert varieties and twisted affine Demazure modules

Forum of Mathematics, Sigma
Let ${\mathscr {G}} $ be a special parahoric group scheme of twisted type over the ring of formal power series over $\mathbb {C}$ , excluding the absolutely special case of $A^{(2)}_{2\ell }$ .
Marc Besson, Jiuzu Hong
doaj   +1 more source

Purely Four-dimensional Viable Anomaly Mediation

, 2002
Anomaly mediation of supersymmetry breaking solves the supersymmetric flavor problem thanks to its ultraviolet-insensitivity. However, it suffers from two problems: sleptons have negative masses-squared, and there are likely bulk moduli that spoil the ...
A. Anisimov, A. Pomarol, Aaron Pierce, E. Katz, G.F. Giudice, Hitoshi Murayama, J.M. Maldacena, M. Gell-Mann, M. Kawasaki, M. Luty, N. Arkani-Hamed, Roni Harnik, T. Yanagida, Z. Chacko, Z. Chacko   +14 more
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Cohomology of Kac-Moody groups over a finite field

, 2012
We compute the mod $p$ cohomology algebra of a family of infinite discrete Kac-Moody groups of rank two defined over finite fields of characteristic different from $p$
Adem, Aguadé, Aguadé, Albert Ruiz, Brown, Dold, Fiedorowicz, Grodal, Jaume Aguadé, Kac, Mitchell, Rémy, Smith, Tits   +13 more
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Double Bruhat Cells in Kac-Moody Groups and Integrable Systems

, 2012
We construct a family of integrable Hamiltonian systems generalizing the relativistic periodic Toda lattice, which is recovered as a special case. The phase spaces of these systems are double Bruhat cells corresponding to pairs of Coxeter elements in the
Williams, Harold
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Iwahori-Hecke algebras for Kac-Moody groups over local fields

, 2016
We define the Iwahori-Hecke algebra for an almost split Kac-Moody group over a local non-archimedean field. We use the hovel associated to this situation, which is the analogue of the Bruhat-Tits building for a reductive group.
Bardy-Panse, Nicole, Gaussent, Stéphane, Rousseau, Guy   +2 more
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Strong integrality of inversion subgroups of Kac-Moody groups

, 2022
Let $A$ be a symmetrizable generalized Cartan matrix with corresponding Kac--Moody algebra $\frak{g}$ over ${\mathbb Q}$. Let $V=V^{\lambda}$ be an integrable highest weight $\frak{g}$-module and let $V_{\mathbb Z}=V^{\lambda}_{\mathbb Z}$ be a ${\mathbb
Ali, Abid, Carbone, Lisa, Liu, Dongwen, Murray, Scott H.   +3 more
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