WebIn mathematics, a hyperoctahedral group is an important type of group that can be realized as the group of symmetries of a hypercube or of a cross-polytope. It was named by … WebThe Eulerian distribution on centrosymmetric involutions 97 such that: • xi ≤ xi+1, • xi = xi+1 =⇒ yi ≥ yi+1. The integer nis called the length of the generalized permutation α. The word x= x1 ···xn is called the x-content of αand, similarly, The word y= y1 ···yn is called the y-content of α. A generalized involution will be a generalized permutation αsatisfying the further ...
c, arXiv:1504.01283v3 [math.CO] 24 Jan 2024
Webhyperoctahedral adjective Describing a group that can be realized as the group of symmetries of a hypercube or hyperoctahedron. How to pronounce hyperoctahedral? WebAbstract. We show that hyperoctahedral Whittaker functions—diagonalizing an open quantum Toda chain with one-sided boundary potentials of Morse type—satisfy a d things to see and do in siena italy
arXiv:0812.0061v3 [math-ph] 23 Jul 2009
WebarXiv:2205.01266v1 [math.CO] 3 May 2024 THE WEAK ORDER ON THE HYPEROCTAHEDRAL GROUP AND THE MONOMIAL BASIS FOR THE HOPF ALGEBRA OF SIGNED PERMUTATIONS HOUYI YU Abstract. We give a WebarXiv:1503.02227v3 [math.RT] 10 Nov 2016 SpinCharacters of Hyperoctahedral Wreath Products Xiaoli Hu and Naihuan Jing∗ Abstract. The irreducible spin character values of the wreath prod-ucts of the hyperoctahedral groups with an arbitrary finite group are determined. 1. Introduction Irreducible spin characters of the symmetric group Sn were ... Web3 nov. 2024 · The main result of the paper proves that hyperoctahedral homology is related to equivariant stable homotopy theory: for a discrete group of odd order, the hyperoctahedral homology of the group algebra is isomorphic to the homology of the fixed points under the involution of an equivariant infinite loop space built from the classifying … things to see and do in st michaels md