Teorija reprezentacija hermitskih kvaternionskih grupa nad p-adskim poljima

Jurčević Peček, Nevena

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doctoral thesis

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Representation theory of hermitian quaternionic groups over p-adic fields

Nevena Jurčević Peček (2016)

University of Zagreb
Faculty of Science
Department of Mathematics

Cite this document

APA 6th Edition

Jurčević Peček, N. (2016). Teorija reprezentacija hermitskih kvaternionskih grupa nad p-adskim poljima (Doctoral thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:993618

MLA 8th Edition

Jurčević Peček, Nevena. "Teorija reprezentacija hermitskih kvaternionskih grupa nad p-adskim poljima." Doctoral thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:993618

Chicago 17th Edition

Harvard

Jurčević Peček, N. (2016). 'Teorija reprezentacija hermitskih kvaternionskih grupa nad p-adskim poljima', Doctoral thesis, University of Zagreb, Faculty of Science, accessed 18 October 2019, https://urn.nsk.hr/urn:nbn:hr:217:993618

Vancouver

Jurčević Peček N. Teorija reprezentacija hermitskih kvaternionskih grupa nad p-adskim poljima [Doctoral thesis]. Zagreb: University of Zagreb, Faculty of Science; 2016 [cited 2019 October 18] Available at: https://urn.nsk.hr/urn:nbn:hr:217:993618

IEEE

N. Jurčević Peček, "Teorija reprezentacija hermitskih kvaternionskih grupa nad p-adskim poljima", Doctoral thesis, University of Zagreb, Faculty of Science, Zagreb, 2016. Available at: https://urn.nsk.hr/urn:nbn:hr:217:993618

Cite this item: https://urn.nsk.hr/urn:nbn:hr:217:993618

Metadata

Title	Teorija reprezentacija hermitskih kvaternionskih grupa nad p-adskim poljima
Title (english)	Representation theory of hermitian quaternionic groups over p-adic fields
Author	Nevena Jurčević Peček
Mentor	Neven Grbac (mentor)
Mentor	Marcela Hanzer (komentor)
Committee member	Goran Muić (predsjednik povjerenstva)
Committee member	Marcela Hanzer (član povjerenstva)
Committee member	Ivan Matić (član povjerenstva)
Committee member	Neven Grbac (član povjerenstva)
Committee member	Marko Tadić (član povjerenstva)
Granter	University of Zagreb Faculty of Science (Department of Mathematics) Zagreb
Defense date and country	2016-01-25, Croatia
Scientific / art field, discipline and subdiscipline	NATURAL SCIENCES Mathematics
Universal decimal classification (UDC)	51 NATURAL SCIENCES Mathematics
Abstract	U ovoj disertaciji proučavamo problem reducibilnosti reprezentacija p-adskih hermitskih kvaternionskih grupa koje su parabolički inducirane iz kuspidalnih i (esencijalno) kvadratno integrabilnih reprezentacija Levijevih faktora standardnih paraboličkih podgrupa. Glavni rezultati su generalizacija Tadićevih kriterija reducibilnosti za rascjepive simplektičke i neparne specijalne ortogonalne grupe na slučaj proizvoljnih hermitskih kvaternionskih grupa. Dokazi se baziraju na tehnikama Jacquetovih modula te koriste strukturnu formulu i teoriju R-grupa. Pritom je pokazano da za hermitske kvaternionske grupe vrijedi strukturna formula te su određene R-grupe.
Abstract (english)	In the thesis, the reducibility of representations of p-adic hermitian quaternionic groups that are parabolically induced from cuspidal and (essentially) square-integrable representations of the Levi factors of standard parabolic subgroups is studied. Main results generalize the reducibility criteria of Tadi´c for split symplectic and special orthogonal groups to the case of arbitrary hermitian quaternionic groups. Proofs rely on the Jacquet module techniques and use the structure formula and the theory of R-groups. It is proved that for Hermitian quaternionic groups the structure formula holds and the R-groups are determined.
Keywords
Keywords (english)
Language	croatian
URN:NBN	urn:nbn:hr:217:993618
Study programme	Title: Mathematics Study programme type: university Study level: postgraduate Academic / professional title: doktor/doktorica znanosti, područje prirodnih znanosti, polje matematika (doktor/doktorica znanosti, područje prirodnih znanosti, polje matematika)
Type of resource	Text
Extent	vii, 107 str.
File origin	Born digital
Access conditions	Closed access
Terms of use
Repository	Repository of Faculty of Science
Created on	2019-03-08 13:20:27