Zobrazeno 1 - 10
of 125
pro vyhledávání: '"Sylvester W"'
Autor:
Zhang, Sylvester W.
We show that the Hilbert space with basis indexed by infinite permutations and the cohomology ring of the infinite flag variety can be seen as representations of the Heisenberg algebra, which are isomorphic using the back-stable Schubert polynomials.
Externí odkaz:
http://arxiv.org/abs/2409.20389
We introduce a $q$-analog of the higher continued fractions introduced by the last three authors in a previous work (together with Gregg Musiker), which are simultaneously a generalization of the $q$-rational numbers of Morier-Genoud and Ovsienko. Th
Externí odkaz:
http://arxiv.org/abs/2408.06902
Graph LP algebras are a generalization of cluster algebras introduced by Lam and Pylyavskyy. We provide a combinatorial proof of positivity for certain cluster variables in these algebras. This proof uses a hypergraph generalization of snake graphs,
Externí odkaz:
http://arxiv.org/abs/2312.12313
Snake graphs are a class of planar graphs that are important in the theory of cluster algebras. Indeed, the Laurent expansions of the cluster variables in cluster algebras from surfaces are given as weight generating functions for 1-dimer covers (or
Externí odkaz:
http://arxiv.org/abs/2306.14389
Publikováno v:
Cogent Food & Agriculture, Vol 3, Iss 1 (2017)
This study determined the most effective of three doses per plant extract on L3 nematode larvae. Seven plant species: Crinum macowanii, Gunnera perpensa, Nicotiana tabacum, Sarcostema viminale, Vernonia amygdalina, Zingiber officinale and Zizyphus mu
Externí odkaz:
https://doaj.org/article/69ebeb492a1b491286bda581ff2d9897
Publikováno v:
Brain Sciences, Vol 2, Iss 4, Pp 553-572 (2012)
The effect of methamphetamine (MA) dependence on the structure of the human brain has not been extensively studied, especially in active users. Previous studies reported cortical deficits and striatal gains in grey matter (GM) volume of abstinent MA
Externí odkaz:
https://doaj.org/article/54c3ad42843c4e5586ef502c6453bc82
For an arc on a bordered surface with marked points, we associate a holonomy matrix using a product of elements of the supergroup $\mathrm{OSp}(1|2)$, which defines a flat $\mathrm{OSp}(1|2)$-connection on the surface. We show that our matrix formula
Externí odkaz:
http://arxiv.org/abs/2208.13664
Autor:
Curran, Michael J., Frechette, Claire, Yost-Wolff, Calvin, Zhang, Sylvester W., Zhang, Valerie
We introduce a solvable lattice model for supersymmetric LLT polynomials, also known as super LLT polynomials, based upon particle interactions in super n-ribbon tableaux. Using operators on a Fock space, we prove a Cauchy identity for super LLT poly
Externí odkaz:
http://arxiv.org/abs/2110.07597
In a recent paper, the authors gave combinatorial formulas for the Laurent expansions of super $\lambda$-lengths in a marked disk, generalizing Schiffler's $T$-path formula. In the present paper, we give an alternate combinatorial expression for thes
Externí odkaz:
http://arxiv.org/abs/2110.06497
Publikováno v:
SIGMA 18 (2022), 089, 30 pages
LP algebras, introduced by Lam and Pylyavskyy, are a generalization of cluster algebras. These algebras are known to have the Laurent phenomenon, but positivity remains conjectural. Graph LP algebras are finite LP algebras encoded by a graph. For the
Externí odkaz:
http://arxiv.org/abs/2107.14785