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2021 A simplicial groupoid for plethysm
Alex Cebrian
Algebr. Geom. Topol. 21(1): 421-445 (2021). DOI: 10.2140/agt.2021.21.421

Abstract

We give a simple combinatorial model for plethysm. Precisely, the bialgebra dual to plethystic substitution is realized as the homotopy cardinality of the incidence bialgebra of an explicit simplicial groupoid, obtained from surjections by a construction reminiscent of the Waldhausen S and the Quillen Q–construction.

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Alex Cebrian. "A simplicial groupoid for plethysm." Algebr. Geom. Topol. 21 (1) 421 - 445, 2021. https://doi.org/10.2140/agt.2021.21.421

Information

Received: 17 September 2019; Revised: 3 May 2020; Accepted: 19 May 2020; Published: 2021
First available in Project Euclid: 16 March 2021

Digital Object Identifier: 10.2140/agt.2021.21.421

Subjects:
Primary: 05A18 , 13F25 , 16T10 , 18B40 , 18G30

Keywords: incidence bialgebras , plethysm , simplicial groupoids

Rights: Copyright © 2021 Mathematical Sciences Publishers

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Vol.21 • No. 1 • 2021
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