Results 1 to 10 of about 12 (12)

Beilinson–Drinfeld Schubert varieties and global Demazure modules

Forum of Mathematics, Sigma, 2021
We compute the spaces of sections of powers of the determinant line bundle on the spherical Schubert subvarieties of the Beilinson–Drinfeld affine Grassmannians. The answer is given in terms of global Demazure modules over the current Lie algebra.
Ilya Dumanski, Evgeny Feigin, Michael Finkelberg   +2 more
doaj   +1 more source

Defining relations of quantum symmetric pair coideal subalgebras

Forum of Mathematics, Sigma, 2021
We explicitly determine the defining relations of all quantum symmetric pair coideal subalgebras of quantised enveloping algebras of Kac–Moody type. Our methods are based on star products on noncommutative ${\mathbb N}$-graded algebras.
Stefan Kolb, Milen Yakimov
doaj   +1 more source

ROUQUIER’S CONJECTURE AND DIAGRAMMATIC ALGEBRA

Forum of Mathematics, Sigma, 2017
We prove a conjecture of Rouquier relating the decomposition numbers in category ${\mathcal{O}}$ for a cyclotomic rational Cherednik algebra to Uglov’s ...
BEN WEBSTER
doaj   +1 more source

Singularities of nilpotent Slodowy slices and collapsing levels of W-algebras

Forum of Mathematics, Sigma
We develop techniques to construct isomorphisms between simple affine W-algebras and affine vertex algebras at admissible levels. We then apply these techniques to obtain many new, and conjecturally all, admissible collapsing levels for affine W-algebras.
Tomoyuki Arakawa, Jethro van Ekeren, Anne Moreau   +2 more
doaj   +1 more source

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

Miura opers and critical points of master functions

Open Mathematics, 2005
Mukhin Evgeny, Varchenko Alexander
doaj   +1 more source

The 3-state Potts model and Rogers-Ramanujan series

Open Mathematics, 2013
Feingold Alex, Milas Antun
doaj   +1 more source

Metabolic Effects of Insulin and IGFs on Gilthead Sea Bream (Sparus aurata) Muscle Cells. [PDF]

Front Endocrinol (Lausanne), 2012
Montserrat N, Capilla E, Navarro I, Gutiérrez J.   +3 more
europepmc   +1 more source

Combinatorial bases of modules for affine Lie algebra B 2(1)

Open Mathematics, 2013
Primc Mirko
doaj   +1 more source

Compatibility of Drinfeld presentations for split affine Kac-Moody quantum symmetric pairs. [PDF]

Lett Math Phys
Li JR, Przeździecki T.
europepmc   +1 more source