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master's thesis
Beskonačnodimenzionalne Liejeve algebre
2017. urn:nbn:hr:166:523178
Vukorepa, Ivana
University of Split
University of Split, Faculty of science
Department of Mathematics

Cite this document

Vukorepa, I. (2017). Beskonačnodimenzionalne Liejeve algebre (Master's thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:523178

Vukorepa, Ivana. "Beskonačnodimenzionalne Liejeve algebre." Master's thesis, University of Split, University of Split, Faculty of science, 2017. https://urn.nsk.hr/urn:nbn:hr:166:523178

Vukorepa, Ivana. "Beskonačnodimenzionalne Liejeve algebre." Master's thesis, University of Split, University of Split, Faculty of science, 2017. https://urn.nsk.hr/urn:nbn:hr:166:523178

Vukorepa, I. (2017). 'Beskonačnodimenzionalne Liejeve algebre', Master's thesis, University of Split, University of Split, Faculty of science, accessed 26 May 2022, https://urn.nsk.hr/urn:nbn:hr:166:523178

Vukorepa I. Beskonačnodimenzionalne Liejeve algebre [Master's thesis]. Split: University of Split, University of Split, Faculty of science; 2017 [cited 2022 May 26] Available at: https://urn.nsk.hr/urn:nbn:hr:166:523178

I. Vukorepa, "Beskonačnodimenzionalne Liejeve algebre", Master's thesis, University of Split, University of Split, Faculty of science, Split, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:166:523178

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Metadata
TitleBeskonačnodimenzionalne Liejeve algebre
Title (english)Infinite dimensional Lie algebras
AuthorIvana Vukorepa
MentorGordan Radobolja (mentor)
Committee memberGordan Radobolja (predsjednik povjerenstva)
Committee memberTea Martinić Bilać (član povjerenstva)
Committee memberDino Peran (član povjerenstva)
GranterUniversity of Split
University of Split, Faculty of science
(Department of Mathematics)
Split
Defense date and country2017-07-04, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom radu proučavamo Wittovu, Heisenbergovu i Virasorovu algebru. U prvom poglavlju bavimo se osnovnim rezultatima iz teorije Liejevih algebri i reprezentacija, a potom definiramo centralna proširenja Liejevih algebri i do kazujemo neke rezultate vezane za njih. U drugom poglavlju definiramo Wittovu algebru i Virasorovu kao centralno proširenje Wittove. Zatim uvodimo pojam težinske reprezentacije i proučavamo neke reprezentacije tog tipa (Vα,β i oscilatorska reprezentacija). Nadalje, definiramo reprezentacije najveće težine i Vermaove reprezentacije i istražujemo neka njihova svojstva.
Abstract (english)
In this master’s thesis we study Witt, Heisenberg and Virasoro algebra. In first chapter we give some basic results from the Lie algebras and represen tation theory, and then we define Lie algebra central extensions and prove some results concerning this. In second chapter we define Witt algebra and Virasoro algebra as central extension of Witt algebra. Then we consider we ight representations and study some representations of such type (Vα,β and oscillator representation). Furthermore, we define highest weight representa tions and Verma representations and study some of their properties.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:166:523178
Study programmeTitle: Mathematics; specializations in: major in pure mathematics, major in computing, major in teaching
Course: major in pure mathematics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsAccess restricted to students and staff of home institution
Terms of useLicence In copyright icon
Created on2018-05-18 15:32:40