Add to ORKGIn this paper we conjecture combinatorial Rogers-Ramanujan type colored partition identities related to standard representations of the affine Lie algebra of type $C^{(1)}_\ell$, $\ell\geq2$, and we conjecture similar colored partition identities with no obvious connection to representation theory of affine Lie algebras.Comment: 20 page
46 pages, 5 figures. v3: fixed a mistake a the generalisations of Capparelli's identity. Second pape...
In this paper, we give $Z$-monomial generators for the vacuum spaces of level 2 standard modules of ...
In the present paper we use anti-hook differences of Agarwal and Andrews as an elementary tool to pr...
In this note we conjecture Rogers-Ramanujan type colored partition identities for an array Nwodd wit...
The topic of this thesis belongs to the theory of integer partitions, at the intersection of combina...
J. Lepowsky and R. L. Wilson initiated the approach to combinatorial Rogers-Ramanujan type identitie...
We give a new simple formula for the energy function of a level $1$ perfect crystal of type $C_n^{(1...
By using the KMN2 crystal base character formula for the basic A2(1)-module, and the principally spe...
By using the KMN2 crystal base character formula for the basic A2(1)-module, and the principally spe...
Kanade and Russell conjectured several Rogers–Ramanujan-type partition identities, some of which are...
Using generalized Frobenius partitions we interpret five basic series identities of Rogers combinato...
In our previous paper (J. Comb. Theory Ser. A 120(1):28–38, 2013), we determined a unified combinato...
The main result of this paper is a combinatorial description of a basis of standard level 1 module f...
46 pages, 5 figures. v3: fixed a mistake a the generalisations of Capparelli's identity. Second pape...
The main result of this paper is a combinatorial description of a basis of standard level 1 module f...
46 pages, 5 figures. v3: fixed a mistake a the generalisations of Capparelli's identity. Second pape...
In this paper, we give $Z$-monomial generators for the vacuum spaces of level 2 standard modules of ...
In the present paper we use anti-hook differences of Agarwal and Andrews as an elementary tool to pr...
In this note we conjecture Rogers-Ramanujan type colored partition identities for an array Nwodd wit...
The topic of this thesis belongs to the theory of integer partitions, at the intersection of combina...
J. Lepowsky and R. L. Wilson initiated the approach to combinatorial Rogers-Ramanujan type identitie...
We give a new simple formula for the energy function of a level $1$ perfect crystal of type $C_n^{(1...
By using the KMN2 crystal base character formula for the basic A2(1)-module, and the principally spe...
By using the KMN2 crystal base character formula for the basic A2(1)-module, and the principally spe...
Kanade and Russell conjectured several Rogers–Ramanujan-type partition identities, some of which are...
Using generalized Frobenius partitions we interpret five basic series identities of Rogers combinato...
In our previous paper (J. Comb. Theory Ser. A 120(1):28–38, 2013), we determined a unified combinato...
The main result of this paper is a combinatorial description of a basis of standard level 1 module f...
46 pages, 5 figures. v3: fixed a mistake a the generalisations of Capparelli's identity. Second pape...
The main result of this paper is a combinatorial description of a basis of standard level 1 module f...
46 pages, 5 figures. v3: fixed a mistake a the generalisations of Capparelli's identity. Second pape...
In this paper, we give $Z$-monomial generators for the vacuum spaces of level 2 standard modules of ...
In the present paper we use anti-hook differences of Agarwal and Andrews as an elementary tool to pr...