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Linear independence for $C_\ell^{(1)}$ by using $C_{2\ell}^{(1)}$

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

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Lepowsky's and Wakimoto's product formulas for the affine Lie algebras $C_l^{(1)}$

Autor: Butorac, Marijana, Kožić, Slaven, Meurman, Arne, Primc, Mirko

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

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New partition identities for odd w odd

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

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Combinatorial relations among relations for level 2 standard $C_{n}\sp{(1)}$-modules

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

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Akademický článek

Proof-of-concept for removing micropollutants through a combination of sub-atmospheric-pressure non-thermal plasma and hydrodynamic (super)cavitation

Autor: Mojca Zupanc, Gregor Primc, Matevž Dular, Martin Petkovšek, Robert Roškar, Rok Zaplotnik, Jurij Trontelj

Publikováno v: Ultrasonics Sonochemistry, Vol 111, Iss , Pp 107110- (2024)

The persistence and toxicity of hazardous pollutants present in wastewater effluents require the development of efficient and sustainable treatment methods to protect water resources. In this study, the efficacy and efficiency of a novel combination

Externí odkaz: https://doaj.org/article/4d3b70acc8434b8cb14d2da4172bbd49

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