113 citations · 374 across the 71 of their papers we have counts for
9 papers · 1 filter
Double-graded quantum superplane
Andrew James Bruce, Steven Duplij
A -graded generalisation of the quantum superplane is proposed and studied. We construct a bicovariant calculus on what we shall refer to as the \…
Analysis of Uq(sl(m+1))-symmetries on quantum n-spaces
Steven Duplij, Yanyong Hong, Fang Li
In this paper, the module-algebra structures of on the quantum -space are studied. We characterize all module-algebra structures of on $A_…
Irrational Uq(sl2)-symmetries on the quantum plane
Steven Duplij, Sergey Sinel'shchikov
The main result of this work is to present the complete list of Uq(sl2)-symmetries of quantum plane. For that, the structure of quantum plane automorphisms is used. Our idea in cla…
Classification of U_q(sl_2)-module algebra structures on the quantum plane
Steven Duplij, Sergey Sinel'shchikov
A complete list of Uq(sl2)-module algebra structures on the quantum plane is produced and the (uncountable family of) isomorphism classes of these structures are described. The com…
Braid semistatistics and doubly regular R-matrix
S. Duplij, W. Marcinek
We introduce "noninvertible" generalization of statistics - semistatistics replacing condition when double exchanging gives identity to "regularity" condition. Then in categorical…
Basic concepts of ternary Hopf algebras
Andrzej Borowiec, Wieslaw A. Dudek, Steven Duplij
The theory of ternary semigroups, groups and algebras is reformulated in the abstract arrow language. Then using the reversing arrow ansatz we define ternary comultiplication, bial…