Preprint Article Version 1 This version is not peer-reviewed

$(q,\sigma,\tau)$-Differential Graded Algebras

Version 1 : Received: 30 October 2018 / Approved: 31 October 2018 / Online: 31 October 2018 (10:03:24 CET)

A peer-reviewed article of this Preprint also exists.

Abramov, V.; Liivapuu, O.; Makhlouf, A. (q,σ,τ)-Differential Graded Algebras. Universe 2018, 4, 138. Abramov, V.; Liivapuu, O.; Makhlouf, A. (q,σ,τ)-Differential Graded Algebras. Universe 2018, 4, 138.

Journal reference: Universe 2018, 4, 138
DOI: 10.3390/universe4120138

Abstract

We propose a notion of $(q,\sigma,\tau)$-differential graded algebra, which generalizes the notions of $(\sigma,\tau)$-differential graded algebra and $q$-differential graded algebra. We construct two examples of $(q,\sigma,\tau)$-differential graded algebra, where the first one is constructed by means of generalized Clifford algebra with two generators (reduced quantum plane), where we use a $(\sigma,\tau)$-twisted graded $q$-commutator. In order to construct the second example, we introduce a notion of $(\sigma,\tau)$-pre-cosimplicial algebra.

Subject Areas

q-differential graded algebra; (σ,τ)-differential graded algebra; generalized Clifford algebra; pre-cosimplicial complex

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