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Pregled bibliografske jedinice broj: 983543

Computing the associated cycles of certain Harish- Chandra modules

Mehdi, Salah; Pandžić, Pavle; Vogan, David; Zierau, Roger
Computing the associated cycles of certain Harish- Chandra modules // Glasnik matematički, 53 (2018), 2; 275-330 doi:10.3336/gm.53.2.05 (međunarodna recenzija, članak, znanstveni)

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Naslov
Computing the associated cycles of certain Harish- Chandra modules

Autori
Mehdi, Salah ; Pandžić, Pavle ; Vogan, David ; Zierau, Roger

Izvornik
Glasnik matematički (0017-095X) 53 (2018), 2; 275-330

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
(𝔤, K)-module, Dirac cohomology, Dirac index, nilpotent orbit, associated variety, associated cycle, Springer correspondence

Sažetak
Let Gℝ be a simple real linear Lie group with maximal compact subgroup Kℝ and assume that rank(Gℝ)=rank(Kℝ). In [17] we proved that for any representation X of Gelfand-Kirillov dimension 1/2dim(Gℝ/Kℝ), the polynomial on the dual of a compact Cartan subalgebra given by the dimension of the Dirac index of members of the coherent family containing X is a linear combination, with integer coefficients, of the multiplicities of the irreducible components occurring in the associated cycle. In this paper we compute these coefficients explicitly.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
HRZZ-IP-2013-11-4176 - Diracovi operatori i teorija reprezentacija (representations) (Pandžić, Pavle, HRZZ - 2013-11) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Pavle Pandžić (autor)

Poveznice na cjeloviti tekst rada:

doi web.math.pmf.unizg.hr web.math.pmf.unizg.hr

Citiraj ovu publikaciju:

Mehdi, Salah; Pandžić, Pavle; Vogan, David; Zierau, Roger
Computing the associated cycles of certain Harish- Chandra modules // Glasnik matematički, 53 (2018), 2; 275-330 doi:10.3336/gm.53.2.05 (međunarodna recenzija, članak, znanstveni)
Mehdi, S., Pandžić, P., Vogan, D. & Zierau, R. (2018) Computing the associated cycles of certain Harish- Chandra modules. Glasnik matematički, 53 (2), 275-330 doi:10.3336/gm.53.2.05.
@article{article, author = {Mehdi, Salah and Pand\v{z}i\'{c}, Pavle and Vogan, David and Zierau, Roger}, year = {2018}, pages = {275-330}, DOI = {10.3336/gm.53.2.05}, keywords = {(𝔤, K)-module, Dirac cohomology, Dirac index, nilpotent orbit, associated variety, associated cycle, Springer correspondence}, journal = {Glasnik matemati\v{c}ki}, doi = {10.3336/gm.53.2.05}, volume = {53}, number = {2}, issn = {0017-095X}, title = {Computing the associated cycles of certain Harish- Chandra modules}, keyword = {(𝔤, K)-module, Dirac cohomology, Dirac index, nilpotent orbit, associated variety, associated cycle, Springer correspondence} }
@article{article, author = {Mehdi, Salah and Pand\v{z}i\'{c}, Pavle and Vogan, David and Zierau, Roger}, year = {2018}, pages = {275-330}, DOI = {10.3336/gm.53.2.05}, keywords = {(𝔤, K)-module, Dirac cohomology, Dirac index, nilpotent orbit, associated variety, associated cycle, Springer correspondence}, journal = {Glasnik matemati\v{c}ki}, doi = {10.3336/gm.53.2.05}, volume = {53}, number = {2}, issn = {0017-095X}, title = {Computing the associated cycles of certain Harish- Chandra modules}, keyword = {(𝔤, K)-module, Dirac cohomology, Dirac index, nilpotent orbit, associated variety, associated cycle, Springer correspondence} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus

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