Zobrazeno 1 - 10
of 515
pro vyhledávání: '"Geranios, A."'
Autor:
Geranios, Haralampos, Higgins, Adam
Over fields of characteristic $2$, Specht modules may decompose and there is no upper bound for the dimension of their endomorphism algebra. A classification of the (in)decomposable Specht modules and a closed formula for the dimension of their endom
Externí odkaz:
http://arxiv.org/abs/2301.12582
Autor:
Geranios, Haralampos, Higgins, Adam
Publikováno v:
In Journal of Algebra 15 August 2024 652:20-51
Autor:
Ellie N. Brill, Natalie G. Link, Morgan R. Jackson, Alea F. Alvi, Jacob N. Moehlenkamp, Morgan B. Beard, Adam R. Simons, Linden C. Carson, Ray Li, Breckin T. Judd, Max N. Brasseale, Emily P. Berkman, Riley K. Park, Sedna Cordova-Hernandez, Rebecca Y. Hoff, Caroline E. Yager, Meredith C. Modelski, Milica Nenadovich, Dhruvi Sisodia, Clayton J. Reames, Andreas G. Geranios, Sean T. Berthrong, Anne M. Wilson, Ashlee H. Tietje, Christopher C. Stobart
Publikováno v:
Biology, Vol 13, Iss 9, p 696 (2024)
Traditional approaches employing natural plant products to treat a wide array of ailments have been documented and described for thousands of years. However, there remains limited scientific study of the therapeutic potential or effectiveness of ethn
Externí odkaz:
https://doaj.org/article/f19f7255ae004bfaabf7d12912fe25dc
A conjecture going back to the eighties claims that there are no non-trivial self-extensions of irreducible modules over symmetric groups if the characteristic of the ground field is not equal to $2$. We obtain some partial positive results on this c
Externí odkaz:
http://arxiv.org/abs/2006.12961
Autor:
Donkin, Stephen, Geranios, Haralampos
Publikováno v:
Journal of Algebra 550, 1-22, (2020)
We give a decomposition as a direct sum of indecomposable modules of several types of Specht modules in characteristic $2$. These include the Specht modules labelled by hooks, whose decomposability was considered by Murphy. Since the main arguments a
Externí odkaz:
http://arxiv.org/abs/1810.10275
Autor:
Donkin, Stephen, Geranios, Haralampos
Publikováno v:
Advances in Mathematics 345, 618-701, (2019)
Let $\Sigma_d$ denote the symmetric group of degree $d$ and let $K$ be a field of positive characteristic $p$. For $p>2$ we give an explicit description of the first cohomology group $H^1(\Sigma_d,{\rm{Sp}}(\lambda))$, of the Specht module ${\rm{Sp}}
Externí odkaz:
http://arxiv.org/abs/1704.02417
Autor:
Donkin, Stephen, Geranios, Haralampos
Publikováno v:
Journal of Algebra 439 (2015), 188-224
In [14] Hemmer conjectures that the module of fixed points for the symmetric group $\Sigma_m$ of a Specht module for $\Sigma_n$ (with $n>m$), over a field of positive characteristic $p$, has a Specht series, when viewed as a $\Sigma_{n-m}$-module. We
Externí odkaz:
http://arxiv.org/abs/1704.02412
Autor:
Donkin, Stephen, Geranios, Haralampos
Publikováno v:
Advances in Mathematics 285 (2015), 394-433
Let $G$ be the general linear group of degree $n$ over an algebraically closed field $K$ of characteristic $p>0$. We study the $m$-fold tensor product $\bar{S}(E)^{\otimes m}$ of the truncated symmetric algebra $\bar{S}(E)$ of the symmetric algebra $
Externí odkaz:
http://arxiv.org/abs/1704.02413
Autor:
Donkin, Stephen, Geranios, Haralampos
Publikováno v:
Algebras and Representation Theory, Volume 17, Issue 2 (2013), 623-642
We consider the representation dimension, for fixed $n\geq2$, of ordinary and quantised Schur algebras $S(n,r)$ over a field $k$. For $k$ of positive characteristic $p$ we give a lower bound valid for all $p$. We also give an upper bound in the quant
Externí odkaz:
http://arxiv.org/abs/1704.02409
Autor:
Donkin, Stephen, Geranios, Haralampos
Publikováno v:
Journal of Algebra 484, 109-125, (2017)
We determine the partitions $\lambda$ for which the corresponding induced module (or Schur module in the language of Buchsbaum et. al., [1]) $\nabla(\lambda)$ is injective in the category of polynomial modules for a general linear group over an infin
Externí odkaz:
http://arxiv.org/abs/1704.02416