Zobrazeno 1 - 10
of 90
pro vyhledávání: '"Gobet, Thomas"'
Autor:
Chapelier-Laget, Nathan, Gobet, Thomas
We study the restriction of the strong Bruhat order on an arbitrary Coxeter group $W$ to cosets $x W_L^\theta$, where $x$ is an element of $W$ and $W_L^\theta$ the subgroup of fixed points of an automorphism $\theta$ of order at most two of a standar
Externí odkaz:
http://arxiv.org/abs/2311.06827
Autor:
Gobet, Thomas
In this note, we give a new proof of a result of Matthew Dyer stating that in an arbitrary Coxeter group $W$, every pair $t,t'$ of distinct reflections lie in a unique maximal dihedral reflection subgroup of $W$. Our proof only relies on the combinat
Externí odkaz:
http://arxiv.org/abs/2307.16791
Autor:
Gobet, Thomas, Rognerud, Baptiste
We study two families of lattices whose number of elements are given by the numbers in even (respectively odd) positions in the Fibonacci sequence. The even Fibonacci lattice arises as the lattice of simple elements of a Garside monoid partially orde
Externí odkaz:
http://arxiv.org/abs/2301.00744
Publikováno v:
Tunisian J. Math. 6 (2024) 249-297
We use non-symmetric Cauchy kernel identities to get the law of last passagepercolation models in terms of Demazure characters. The construction is basedon some restrictions of the RSK correspondence that we rephrase in a unifiedway which is compatib
Externí odkaz:
http://arxiv.org/abs/2212.06587
Autor:
Gobet, Thomas
Several distinct Garside monoids having torus knot groups as groups of fractions are known. For $n,m\geq 2$ two coprime integers, we introduce a new Garside monoid $\mathcal{M}(n,m)$ having as Garside group the $(n,m)$-torus knot group, thereby gener
Externí odkaz:
http://arxiv.org/abs/2209.02291
Autor:
Gobet, Thomas
Several finite complex reflection groups have a braid group which is isomorphic to a torus knot group. The reflection group is obtained from the torus knot group by declaring meridians to have order $k$ for some $k\geq 2$, and meridians are mapped to
Externí odkaz:
http://arxiv.org/abs/2112.03856
Autor:
Gobet, Thomas
The submonoid of the $3$-strand braid group $\mathcal{B}_3$ generated by $\sigma_1$ and $\sigma_1 \sigma_2$ is known to yield an exotic Garside structure on $\mathcal{B}_3$. We introduce and study an infinite family $(M_n)_{n\geq 1}$ of Garside monoi
Externí odkaz:
http://arxiv.org/abs/2007.10772
Autor:
Gobet, Thomas, Marin, Ivan
In the context of Hecke algebras of complex reflection groups, we prove that the generalized Hecke algebras of normalizers of parabolic subgroups are semidirect products, under suitable conditions on the parameters involved in their definition.
Externí odkaz:
http://arxiv.org/abs/2006.09028
Let $W_0$ be a reflection subgroup of a finite complex reflection group $W$, and let $B_0$ and $B$ be their respective braid groups. In order to construct a Hecke algebra $\widetilde{H}_0$ for the normalizer $N_W(W_0)$, one first considers a natural
Externí odkaz:
http://arxiv.org/abs/2002.05468
Let $G$ be a reductive algebraic group and let $Z$ be the stabilizer of a nilpotent element $e$ of the Lie algebra of $G$. We consider the action of $Z$ on the flag variety of $G$, and we focus on the case where this action has a finite number of orb
Externí odkaz:
http://arxiv.org/abs/2001.04411