Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Kriloff, Cathy"'
Publikováno v:
SIGMA 17 (2021), 039, 35 pages
Drinfeld orbifold algebras deform skew group algebras in polynomial degree at most one and hence encompass graded Hecke algebras, and in particular symplectic reflection algebras and rational Cherednik algebras. We introduce parametrized families of
Externí odkaz:
http://arxiv.org/abs/1912.06743
Autor:
Aho, Ken, Kriloff, Cathy, Godsey, Sarah E., Ramos, Rob, Wheeler, Chris, You, Yaqi, Warix, Sara, Derryberry, DeWayne, Zipper, Sam, Hale, Rebecca L., Bond, Charles T., Kuehn, Kevin A.
Publikováno v:
In Environmental Modelling and Software September 2023 167
Autor:
Kriloff, Cathy, Payne, Tracy
We characterize H-like Lie algebras in terms of subspaces of cones over conjugacy classes in $\mathfrak{so}(\mathbb{R}^q)$, translating the classification problem for H-like Lie algebras to an equivalent problem in linear algebra. We study properties
Externí odkaz:
http://arxiv.org/abs/1805.03150
Autor:
Chikwanda, Patreck, Kriloff, Cathy, Lee, Yun Teck, Sandow, Taylor, Smith, Garrett, Yeroshkin, Dmytro
Publikováno v:
Involve 11 (2018) 679-699
Two-sided group digraphs and graphs, introduced by Iradmusa and Praeger, provide a generalization of Cayley digraphs and graphs in which arcs are determined by left and right multiplying by elements of two subsets of the group. We characterize when t
Externí odkaz:
http://arxiv.org/abs/1705.05827
Drinfeld orbifold algebras are a type of deformation of skew group algebras generalizing graded Hecke algebras of interest in representation theory, algebraic combinatorics, and noncommutative geometry. In this article, we classify all Drinfeld orbif
Externí odkaz:
http://arxiv.org/abs/1611.00410
Renteln proved that the eigenvalues of the distance matrix of a Cayley graph of a real reflection group with respect to the set of all reflections are integral and provided a combinatorial formula for some such spectra. We prove the eigenvalues of th
Externí odkaz:
http://arxiv.org/abs/1502.07392
Autor:
Kriloff, Cathy, Lay, Terry
Generalizing a result of Conway, Sloane, and Wilkes for real reflection groups, we show the Cayley graph of an imprimitive complex reflection group with respect to standard generating reflections has a Hamiltonian cycle. This is consistent with the l
Externí odkaz:
http://arxiv.org/abs/1303.4147
Autor:
Chen, Yu, Kriloff, Cathy
For a crystallographic root system, dominant regions in the Catalan hyperplane arrangement are in bijection with antichains in a partial order on the positive roots. For a noncrystallographic root system, the analogous arrangement and regions have im
Externí odkaz:
http://arxiv.org/abs/math/0601191
Autor:
Chen, Yu, Kriloff, Cathy
Publikováno v:
In Journal of Combinatorial Theory, Series A 2007 114(5):789-808
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