Zobrazeno 1 - 10
of 450
pro vyhledávání: '"Zabrocki P"'
We study the lattice of submonoids of the uniform block permutation monoid containing the symmetric group (which is its group of units). We prove that this lattice is distributive under union and intersection by relating the submonoids containing the
Externí odkaz:
http://arxiv.org/abs/2405.09710
It is an important problem in algebraic combinatorics to deduce the Schur function expansion of a symmetric function whose expansion in terms of the fundamental quasisymmetric function is known. For example, formulas are known for the fundamental exp
Externí odkaz:
http://arxiv.org/abs/2404.04512
The quasi-partition algebras were introduced by Daugherty and the first author as centralizers of the symmetric group. In this article, we give a more general definition of these algebras and give a construction of their simple modules. In addition,
Externí odkaz:
http://arxiv.org/abs/2306.17326
Composing two representations of the general linear groups gives rise to Littlewood's (outer) plethysm. On the level of characters, this poses the question of finding the Schur expansion of the plethysm of two Schur functions. A combinatorial interpr
Externí odkaz:
http://arxiv.org/abs/2208.07258
We study the ring of quasisymmetric polynomials in $n$ anticommuting (fermionic) variables. Let $R_n$ denote the polynomials in $n$ anticommuting variables. The main results of this paper show the following interesting facts about quasisymmetric poly
Externí odkaz:
http://arxiv.org/abs/2206.02065
Autor:
Garsia, Adriano, Zabrocki, Mike
It will be shown here that there are differential operators $E,F$ and $H=[E,F]$ for each $n\ge 1$, acting on Diagonal Harmonics, yielding that $DH_n$ is a representation of $sl[2]$ (see [3] Chapter 3). Our main effort here is to use $sl[2]$ theory to
Externí odkaz:
http://arxiv.org/abs/2204.01812
Publikováno v:
Algebraic Combinatorics, Volume 5 (2022) no. 5, pp. 1165-1203
We study the representation theory of the uniform block permutation algebra in the context of the representation theory of factorizable inverse monoids. The uniform block permutation algebra is a subalgebra of the partition algebra and is also known
Externí odkaz:
http://arxiv.org/abs/2112.13909
We propose a new approach to estimate the causal effects of maritime traffic when natural or policy experiments are not available. We apply this method to the case of Marseille, a large Mediterranean port city, where air pollution emitted by cruise v
Externí odkaz:
http://arxiv.org/abs/2105.03996
Publikováno v:
Energies, Vol 17, Iss 14, p 3541 (2024)
Missing Funding [...]
Externí odkaz:
https://doaj.org/article/d460f9396e824dbeb12e55445b4e173c
Autor:
Orellana, Rosa, Zabrocki, Mike
We introduce the multiset partition algebra, ${\rm M\!P}_{r,k}(x)$, that has bases elements indexed by multiset partitions, where $x$ is an indeterminate and $r$ and $k$ are non-negative integers. This algebra can be realized as a diagram algebra tha
Externí odkaz:
http://arxiv.org/abs/2007.07370