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Two families of Dirac-like operators for Drinfeld's Hecke algebra

Research output: Working paper › Preprint

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Two families of Dirac-like operators for Drinfeld's Hecke algebra. / Calvert, Kieran.
2022.

Research output: Working paper › Preprint

Harvard

Calvert, K 2022 'Two families of Dirac-like operators for Drinfeld's Hecke algebra'.

APA

Calvert, K. (2022). Two families of Dirac-like operators for Drinfeld's Hecke algebra.

Vancouver

Calvert K. Two families of Dirac-like operators for Drinfeld's Hecke algebra. 2022 Dec 23.

Author

Calvert, Kieran. / Two families of Dirac-like operators for Drinfeld's Hecke algebra. 2022.

Bibtex

@techreport{e2f08119f9f94b27bacd900311e57372,
title = "Two families of Dirac-like operators for Drinfeld's Hecke algebra",
abstract = " In this paper we define two generalisations of Dirac operators for Drinfeld's Hecke algebra. One generalisation, Parthasarathy operators inherit the notion of the Dirac inequality. The second generalisation, Vogan operators, inherit Dirac cohomology; if an operator has non-zero cohomology then it relates the infinitesimal character with a character of the a group. We prove properties about these operators and give a family of operators in each class. ",
keywords = "math.RT",
author = "Kieran Calvert",
note = "15 pages",
year = "2022",
month = dec,
day = "23",
language = "English",
type = "WorkingPaper",

}

RIS

TY - UNPB

T1 - Two families of Dirac-like operators for Drinfeld's Hecke algebra

AU - Calvert, Kieran

N1 - 15 pages

PY - 2022/12/23

Y1 - 2022/12/23

N2 - In this paper we define two generalisations of Dirac operators for Drinfeld's Hecke algebra. One generalisation, Parthasarathy operators inherit the notion of the Dirac inequality. The second generalisation, Vogan operators, inherit Dirac cohomology; if an operator has non-zero cohomology then it relates the infinitesimal character with a character of the a group. We prove properties about these operators and give a family of operators in each class.

AB - In this paper we define two generalisations of Dirac operators for Drinfeld's Hecke algebra. One generalisation, Parthasarathy operators inherit the notion of the Dirac inequality. The second generalisation, Vogan operators, inherit Dirac cohomology; if an operator has non-zero cohomology then it relates the infinitesimal character with a character of the a group. We prove properties about these operators and give a family of operators in each class.

KW - math.RT

M3 - Preprint

BT - Two families of Dirac-like operators for Drinfeld's Hecke algebra

ER -