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pro vyhledávání: '"Ravinder, B."'
We consider two bases for an arbitrary finite dimensional irreducible representation of a complex special linear Lie algebra: the classical Gelfand-Tsetlin basis and the relatively new Chari-Loktev basis. Both are parametrized by the set of (integral
Externí odkaz:
http://arxiv.org/abs/1903.02768
Autor:
Ravinder, B.
We give a Poincare-Birkhoff-Witt type basis for local Weyl modules of the current algebra of type $C$. As a consequence, we get a fermionic character formula for these modules.
Comment: 19 pages
Comment: 19 pages
Externí odkaz:
http://arxiv.org/abs/1809.07065
Autor:
Ravinder, B.
We prove stability of the Chari-Loktev bases with respect to the inclusions of local Weyl modules of the current algebra $\mathfrak{sl}_{r+1}[t]$. This is conjectured in \cite{RRV2} and the $r=1$ case is proved in \cite{RRV1}. Local Weyl modules bein
Externí odkaz:
http://arxiv.org/abs/1612.01484
This paper is a study of the bases introduced by Chari-Loktev for local Weyl modules of the current algebra associated to a special linear Lie algebra. Partition overlaid patterns, POPs for short---whose introduction is one of the aims of this paper-
Externí odkaz:
http://arxiv.org/abs/1606.01191
Autor:
Ravinder, B.
Publikováno v:
Journal of Algebra 476 (2017) 186--215
Let $\mathfrak{g}$ be a finite-dimensional complex simple Lie algebra with highest root $\theta$ and let $\mathfrak{g}[t]$ be the corresponding current algebra. In this paper, we consider the $\mathfrak{g}[t]$-stable Demazure modules associated to in
Externí odkaz:
http://arxiv.org/abs/1504.01537
Publikováno v:
Algebras and Representation Theory 18 (2015), no. 3, 613-632
We prove stability of the Chari-Pressley-Loktev bases for natural inclusions of local Weyl modules of the current algebra $sl_2[t]$. These modules being known to be Demazure submodules in the level 1 representations of the affine Lie algebra $\wideha
Externí odkaz:
http://arxiv.org/abs/1407.0789
Autor:
Ali, Altaf, Kumar, Anish, Kumar, Kamalesh, Murthy, YRC, Ravinder, B., Kapoor, Komal, Babu, C. Phani
Publikováno v:
In Procedia Structural Integrity 2019 14:273-281
Publikováno v:
In Journal of Combinatorial Theory, Series A February 2018 154:77-113
Autor:
Ravinder, B.
Publikováno v:
In Journal of Algebra 15 April 2017 476:186-215
Autor:
Mahesh R, Rajender B, Ravinder B, Suresh Kummari, Bhanu Prakash Ch, Yeshdas B, Shyam Prasad Mamidala, Balakrishna Ch
Publikováno v:
Journal of Entomology and Zoology Studies. 9:1403-1410
Microorganisms had a pivotalrole in the aquatic environment by involving ecosystem productivity with relevant to the food chain from the primary producers to and flag end consumers to decompose the detritus. And also plays an important roleconcerning