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Pregled bibliografske jedinice broj: 304721

Dirac cohomology for Lie superalgebras


Huang, Jing-Song; Pandžić, Pavle
Dirac cohomology for Lie superalgebras // Representations of Real and p-Adic Groups, Lecture Notes Series vol. 2 / Tan, Eng-Chye ; Zhu, Chen-Bo (ur.).
Singapur: Singapore University Press and World Scientific Publishing, 2004. (pozvano predavanje, međunarodna recenzija, neobjavljeni rad, znanstveni)


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Naslov
Dirac cohomology for Lie superalgebras

Autori
Huang, Jing-Song ; Pandžić, Pavle

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni

Izvornik
Representations of Real and p-Adic Groups, Lecture Notes Series vol. 2 / Tan, Eng-Chye ; Zhu, Chen-Bo - Singapur : Singapore University Press and World Scientific Publishing, 2004

Skup
Program on "Representation Theory of Lie Groups"

Mjesto i datum
Singapur, Srpanj 2002 - Sijecanj 2003

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Lie superalgebra; Dirac operator; Dirac cohomology; infinitesimal character

Sažetak
We define a Dirac operator for a Lie superalgebra of Riemannian type and show that this Dirac operator has similar nature as the one for semisimple Lie algebras. As a consequence we show how to determine the infinitesimal character of a representation by the infinitesimal character of its Dirac cohomology.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
0037123

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Profili:

Avatar Url Pavle Pandžić (autor)


Citiraj ovu publikaciju:

Huang, Jing-Song; Pandžić, Pavle
Dirac cohomology for Lie superalgebras // Representations of Real and p-Adic Groups, Lecture Notes Series vol. 2 / Tan, Eng-Chye ; Zhu, Chen-Bo (ur.).
Singapur: Singapore University Press and World Scientific Publishing, 2004. (pozvano predavanje, međunarodna recenzija, neobjavljeni rad, znanstveni)
Huang, J. & Pandžić, P. (2004) Dirac cohomology for Lie superalgebras. U: Tan, E. & Zhu, C. (ur.)Representations of Real and p-Adic Groups, Lecture Notes Series vol. 2.
@article{article, author = {Huang, Jing-Song and Pand\v{z}i\'{c}, Pavle}, year = {2004}, keywords = {Lie superalgebra, Dirac operator, Dirac cohomology, infinitesimal character}, title = {Dirac cohomology for Lie superalgebras}, keyword = {Lie superalgebra, Dirac operator, Dirac cohomology, infinitesimal character}, publisher = {Singapore University Press and World Scientific Publishing}, publisherplace = {Singapur} }
@article{article, author = {Huang, Jing-Song and Pand\v{z}i\'{c}, Pavle}, year = {2004}, keywords = {Lie superalgebra, Dirac operator, Dirac cohomology, infinitesimal character}, title = {Dirac cohomology for Lie superalgebras}, keyword = {Lie superalgebra, Dirac operator, Dirac cohomology, infinitesimal character}, publisher = {Singapore University Press and World Scientific Publishing}, publisherplace = {Singapur} }




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