Representation growth of the Heisenberg group over O[x]/(x3)

Duong Hoang Dung

doi:10.1142/S0219498817500773

Representation growth of the Heisenberg group over O[x]/(x³)

Duong Hoang Dung

Laboratory of Mathematical Design for Advanced Cryptography

Research output: Contribution to journal › Article › peer-review

Abstract

We present a conjectured formula for the representation of zeta function of the Heisenberg group over O [x]/(xⁿ), where O is the ring of integers of some number field. We confirm the conjecture for n ≤ 3.

Original language	English
Article number	1750077
Journal	Journal of Algebra and its Applications
Volume	16
Issue number	4
DOIs	https://doi.org/10.1142/S0219498817500773
Publication status	Published - Apr 1 2017

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Applied Mathematics

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title = "Representation growth of the Heisenberg group over O[x]/(x3)",

abstract = "We present a conjectured formula for the representation of zeta function of the Heisenberg group over O [x]/(xn), where O is the ring of integers of some number field. We confirm the conjecture for n ≤ 3.",

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Representation growth of the Heisenberg group over O[x]/(x³)

Abstract

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