Results 81 to 90 of about 3,063 (228)
Existence and orthogonality of stable envelopes for bow varieties
Abstract Stable envelopes, introduced by Maulik and Okounkov, provide a family of bases for the equivariant cohomology of symplectic resolutions. They are part of a fascinating interplay between geometry, combinatorics and integrable systems. In this expository article, we give a self‐contained introduction to cohomological stable envelopes of type A$A$
Catharina Stroppel, Till Wehrhan
wiley +1 more source
Symmetric functions: a bijective identity [PDF]
We give a bijective proof of a classical identity which we have named the cyclotomic identity.
Gian-Carlo Rota, N. Metropolis
openaire +3 more sources
Bounded cohomology of groups acting on trees with almost prescribed local actions
Abstract We prove the vanishing of bounded cohomology of the groups acting on trees with almost prescribed local actions G(F,F′)$G(F, F^{\prime })$, where F
Giuseppe Bargagnati, Elena Bogliolo
wiley +1 more source
Descent of Equivalences and Character Bijections [PDF]
Categorical equivalences between block algebras of finite groups - such as Morita and derived equivalences - are well-known to induce character bijections which commute with the Galois groups of field extensions. This is the motivation for attempting to realise known Morita and derived equivalences over non splitting fields.
Kessar, R., Linckelmann, M.
openaire +4 more sources
Degrees and prime power order zeros of characters of symmetric and alternating groups
Abstract We show that the p$p$‐part of the degree of an irreducible character of a symmetric group is completely determined by the set of vanishing elements of p$p$‐power order. As a corollary, we deduce that the set of zeros of prime power order controls the degree of such a character. The same problem is analysed for alternating groups, where we show
Eugenio Giannelli +2 more
wiley +1 more source
Resources for Research on Analogy: A Multi-disciplinary Guide
Work on analogy has been done from a number of disciplinary perspectives throughout the history of Western thought. This work is a multidisciplinary guide to theorizing about analogy.
Marcello Guarini +3 more
doaj +1 more source
Dyck tilings, linear extensions, descents, and inversions [PDF]
Dyck tilings were introduced by Kenyon and Wilson in their study of double-dimer pairings. They are certain kinds of tilings of skew Young diagrams with ribbon tiles shaped like Dyck paths.
Jang Soo Kim +3 more
doaj +1 more source
Growth problems in diagram categories
Abstract In the semisimple case, we derive (asymptotic) formulas for the growth rate of the number of summands in tensor powers of the generating object in diagram/interpolation categories.
Jonathan Gruber, Daniel Tubbenhauer
wiley +1 more source
Type C parking functions and a zeta map [PDF]
We introduce type $C$ parking functions, encoded as vertically labelled lattice paths and endowed with a statistic dinv'. We define a bijection from type $C$ parking functions to regions of the Shi arrangement of type $C$, encoded as diagonally labelled ...
Robin Sulzgruber, Marko Thiel
doaj +1 more source
Centrality of star and monotone factorisations
Abstract A factorisation problem in the symmetric group is central if conjugate permutations always have the same number of factorisations. We give the first fully combinatorial proof of the centrality of transitive star factorisations that is valid in all genera, which answers a natural question of Goulden and Jackson from 2009.
Jesse Campion Loth, Amarpreet Rattan
wiley +1 more source

