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pro vyhledávání: '"Primc, Mirko"'
Autor:
Primc, Mirko, Trupčević, Goran
In this note we prove linear independence of the combinatorial spanning set for standard $C_\ell^{(1)}$-module $L(k\Lambda_0)$ by establishing a connection with the combinatorial basis of Feigin-Stoyanovsky's type subspace $W(k\Lambda_0)$ of $C_{2\el
Externí odkaz:
http://arxiv.org/abs/2403.06881
Publikováno v:
Journal of Algebra 660 (2024), 147-189
In this paper, we recall Lepowsky's and Wakimoto's product character formulas formulated in a new way by using arrays of specialized weighted crystals of negative roots for affine Lie algebras of type $C_l^{(1)}$, $D_{l+1}^{(2)}$ and $A_{2l}^{(2)}$.
Externí odkaz:
http://arxiv.org/abs/2403.05456
Autor:
Primc, Mirko
In this note we conjecture Rogers-Ramanujan type colored partition identities for an array with odd number of rows w such that the first and the last row consist of even positive integers. In a strange way this is different from the partition identit
Externí odkaz:
http://arxiv.org/abs/2301.12484
Autor:
Primc, Mirko, c, Tomislav Šiki\'
For an affine Lie algebra $\hat{\mathfrak g}$ the coefficients of certain vertex operators which annihilate level $k$ standard $\hat{\mathfrak g}$-modules are the defining relations for level $k$ standard modules. In this paper we study a combinatori
Externí odkaz:
http://arxiv.org/abs/2301.11222
Autor:
Primc, Mirko, Trupčević, Goran
Publikováno v:
In Journal of Algebra 1 January 2025 661:341-356
Publikováno v:
Math. Z. 298 (2021), 1003-1032
In this paper we construct combinatorial bases of parafermionic spaces associated with the standard modules of the rectangular highest weights for the untwisted affine Lie algebras. Our construction is a modification of G. Georgiev's construction for
Externí odkaz:
http://arxiv.org/abs/2002.00435
Autor:
Primc, Mirko
In this note we explain, in terms of finite dimensional representations of Lie algebras $\mathfrak{sp}_{2\ell}\subset\mathfrak{sl}_{2\ell}$, a combinatorial coincidence of difference conditions in two constructions of combinatorial bases for standard
Externí odkaz:
http://arxiv.org/abs/1812.00405
Akademický článek
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In this paper we construct combinatorial bases of Feigin-Stoyanovsky's type subspaces of standard modules for level $k$ affine Lie algebra $C_\ell^{(1)}$. We prove spanning by using annihilating field $x_\theta (z)^{k+1}$ of standard modules. In the
Externí odkaz:
http://arxiv.org/abs/1603.04594
Autor:
Primc, Mirko, Šikić, Tomislav
J.~Lepowsky and R.~L.~Wilson initiated the approach to combinatorial Rogers-Ramanujan type identities via vertex operator constructions of standard (i.e. integrable highest weight) representations of affine Kac-Moody Lie algebras. A.~Meurman and M.~P
Externí odkaz:
http://arxiv.org/abs/1603.04399