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Autor:
Dumanski, Ilya
We propose a geometric realization of the Feigin-Loktev fusion product of graded cyclic modules over the current algebra. This allows us to compute it in several new cases. We also relate the Feigin-Loktev fusion product to the convolution of pervers
Externí odkaz:
http://arxiv.org/abs/2308.05268
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
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.
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
We consider electronic spectra of twisted carbon nanotubes and their perturbation by impurity atoms absorbed at different positions on nanotube surface within the framework of Anderson hybrid model. A special attention is given to the cases when 1D W
Externí odkaz:
http://arxiv.org/abs/2412.07131
For the first time the exact analytical expressions for the three-dimensional bound electron states in the Coulomb field of the chain consisting of positively charged ions, are obtained within the Dirac description, using the new spinor invariant fou
Externí odkaz:
http://arxiv.org/abs/2411.14212
Publikováno v:
In Journal of Combinatorial Theory, Series A February 2018 154:77-113
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
Observations show that the X-ray emission of the accreting weakly magnetized neutron stars is polarized. Here, we develop a theoretical model, where we assume the emission of the accreting neutron star coming from the spreading layer, the extension o
Externí odkaz:
http://arxiv.org/abs/2409.16023