Csajbók, Bence Siciliano, Alessandro
Published in
Journal of Algebraic Combinatorics

We investigate punctured maximum rank distance codes in cyclic models for bilinear forms of finite vector spaces. In each of these models, we consider an infinite family of linear maximum rank distance codes obtained by puncturing generalized twisted Gabidulin codes. We calculate the automorphism group of such codes, and we prove that this family c...

Nguyen, Viet Anh
Published in
Journal of Algebraic Combinatorics

We prove two explicit formulae for one-part double Hurwitz numbers with completed 3-cycles. We define “combinatorial Hodge integrals” from these numbers in the spirit of the celebrated ELSV formula. The obtained results imply some explicit formulae and properties of the combinatorial Hodge integrals.

Kaliszewski, Ryan Lambright, Justin Skandera, Mark
Published in
Journal of Algebraic Combinatorics

We combinatorially describe entries of the transition matrices which relate monomial bases of the zero-weight space of the quantum matrix bialgebra. This description leads to a combinatorial rule for evaluating induced sign characters of the type A Hecke algebra Hn(q)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackag...

Rusnak, Lucas J. Robinson, Ellen Schmidt, Martin Shroff, Piyush
Published in
Journal of Algebraic Combinatorics

Restrictions of incidence preserving path maps produce oriented hypergraphic All Minors Matrix-tree Theorems for Laplacian and adjacency matrices. The images of these maps produce a locally signed graphic, incidence generalization, of cycle covers and basic figures that correspond to incidence-k-forests. When restricted to bidirected graphs, the na...

Kashiwara, Masaki Oh, Se-jin
Published in
Journal of Algebraic Combinatorics

We prove that the Grothendieck rings of category CQ(t)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {C}^{(t)}_Q$$\end{document} over quantum affine algebras ...

Weber, Andrzej Zielenkiewicz, Magdalena
Published in
Journal of Algebraic Combinatorics

We study residue formulas for push-forward in the equivariant K-theory of homogeneous spaces. For the classical Grassmannian, the residue formula can be obtained from the cohomological formula by a substitution. We also give another proof using symplectic reduction and the method involving the localization theorem of Jeffrey–Kirwan. We review formu...

Gao, Suogang Li, Zengti Wu, Weili Pardalos, Panos M. Du, Dingzhu
Published in
Journal of Algebraic Combinatorics

In this paper, we give an overview of combinatorial group testing and algebra. Our survey focuses on the constructions with algebraic methods, especially geometry of classical groups over finite fields.

Cossidente, A. Pavese, F.
Published in
Journal of Algebraic Combinatorics

New families of Cameron–Liebler line classes of PG(3,q)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm{PG}(3,q)$$\end{document}, q≥7\documentclass[12pt]{minimal...

Chen, Jiyong Jin, Wei Li, Cai Heng
Published in
Journal of Algebraic Combinatorics

A complete classification is given of 2-distance-transitive circulants, which shows that a 2-distance-transitive circulant is a cycle, a Paley graph of prime order, a regular complete multipartite graph, or a regular complete bipartite graph of order twice an odd integer minus a 1-factor.

Donati, Giorgio Durante, Nicola
Published in
Journal of Algebraic Combinatorics

Using a variation of Seydewitz’s method of projective generation of quadratic cones, we define an algebraic surface of PG(3,qn)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{docu...