Strict quantization of coadjoint orbits

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Strict quantization of coadjoint orbits. / Schmitt, Philipp.

In: arXiv.org, Vol. arXiv:1907.03185, 06.07.2019.

Research output: Contribution to journalJournal articleResearch

Harvard

Schmitt, P 2019, 'Strict quantization of coadjoint orbits', arXiv.org, vol. arXiv:1907.03185.

APA

Schmitt, P. (2019). Strict quantization of coadjoint orbits. arXiv.org, arXiv:1907.03185.

Vancouver

Schmitt P. Strict quantization of coadjoint orbits. arXiv.org. 2019 Jul 6;arXiv:1907.03185.

Author

Schmitt, Philipp. / Strict quantization of coadjoint orbits. In: arXiv.org. 2019 ; Vol. arXiv:1907.03185.

Bibtex

@article{59fdfab148a54ed89b6cf332d2b0c32b,
title = "Strict quantization of coadjoint orbits",
abstract = "We obtain a strict quantization of the holomorphic functions on any semisimple coadjoint orbit of a complex semisimple connected Lie group. By restricting this quantization, we also obtain strict star products on a subalgebra of analytic functions for any semisimple coadjoint orbit of a real semisimple connected Lie group. If this Lie group was also compact, the star product is of Wick type. The main tool to construct our quantization is a construction by Alekseev--Lachowska and an explicit formula for the canonical element of the Shapovalov pairing between generalized Verma modules.",
keywords = "math.QA",
author = "Philipp Schmitt",
note = "45 pages. Comments are welcome!",
year = "2019",
month = "7",
day = "6",
language = "English",
volume = "arXiv:1907.03185",
journal = "arXiv.org",

}

RIS

TY - JOUR

T1 - Strict quantization of coadjoint orbits

AU - Schmitt, Philipp

N1 - 45 pages. Comments are welcome!

PY - 2019/7/6

Y1 - 2019/7/6

N2 - We obtain a strict quantization of the holomorphic functions on any semisimple coadjoint orbit of a complex semisimple connected Lie group. By restricting this quantization, we also obtain strict star products on a subalgebra of analytic functions for any semisimple coadjoint orbit of a real semisimple connected Lie group. If this Lie group was also compact, the star product is of Wick type. The main tool to construct our quantization is a construction by Alekseev--Lachowska and an explicit formula for the canonical element of the Shapovalov pairing between generalized Verma modules.

AB - We obtain a strict quantization of the holomorphic functions on any semisimple coadjoint orbit of a complex semisimple connected Lie group. By restricting this quantization, we also obtain strict star products on a subalgebra of analytic functions for any semisimple coadjoint orbit of a real semisimple connected Lie group. If this Lie group was also compact, the star product is of Wick type. The main tool to construct our quantization is a construction by Alekseev--Lachowska and an explicit formula for the canonical element of the Shapovalov pairing between generalized Verma modules.

KW - math.QA

M3 - Journal article

VL - arXiv:1907.03185

JO - arXiv.org

JF - arXiv.org

ER -

ID: 225181342