M. Primc

activity

19982026

most citedAnnihilating fields of standard modules of sl(2,C)~ and combinatorial identities

97 citations · 124 across the 23 of their papers we have counts for

collaborators

23 papers

math.QA2026

Quasi-particles and the Kanade-Russell and Kurşungöz formula for Capparelli's identity

Marijana Butorac, Slaven Kožić, Mirko Primc

We construct a quasi-particle basis of the integrable highest weight module of highest weight $3 Λ_{0}$ for the twisted affine Lie algebra of type $A_{2}^{(2)}$ in the principal realiza…

math.CO2025

Leading Terms of Relations on a Level 5 Module over the Twisted Affine Lie Algebra $A_{2}^{(2)}$

Stefano Capparelli, Arne Meurman, Mirko Primc

One of the starting points of this work was the duality of Borcea relating standard level $k$ representations of $A_{1}^{(1)}$ and level $2 k + 1$ of $A_{2}^{(2)}$ . For $k = 1$ , the combina…

math.QA2025

Linear Independence for $A_{1}^{(1)}$ by Using $C_{2}^{(1)}$

Mirko Primc, Goran Trupčević

In the previous paper, the authors proved linear independence of the combinatorial spanning set for standard $C_{ℓ}^{(1)}$ -module $L (k Λ_{0})$ by establishing a connection with the c…

math.RT2024

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

Marijana Butorac, Slaven Kožić, Arne Meurman +1

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…

math.QA2024

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

Mirko Primc, Goran Trupčević

In this note we prove linear independence of the combinatorial spanning set for standard $C_{ℓ}^{(1)}$ -module $L (k Λ_{0})$ by establishing a connection with the combinatorial basis o…

math.CO2023

New partition identities for odd w odd

Mirko Primc

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 i…

Quasi-particles and the Kanade-Russell and Kurşungöz formula for Capparelli's identity

Leading Terms of Relations on a Level 5 Module over the Twisted Affine Lie Algebra A2(2)​

Linear Independence for A1(1)​ by Using C2(1)​

Lepowsky's and Wakimoto's product formulas for the affine Lie algebras Cl(1)​

Linear independence for Cℓ(1)​ by using C2ℓ(1)​

New partition identities for odd w odd

Leading Terms of Relations on a Level 5 Module over the Twisted Affine Lie Algebra $A_{2}^{(2)}$

Linear Independence for $A_{1}^{(1)}$ by Using $C_{2}^{(1)}$

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

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