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undergraduate thesis
Simboličko računanje unutar omotačke algebre od sl(4,C)
Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing, 2022. urn:nbn:hr:168:840977
Piškur, Mijo
University of Zagreb
Faculty of Electrical Engineering and Computing

Institutional repository: FER Repository

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Piškur, M. (2022). Simboličko računanje unutar omotačke algebre od sl(4,C) (Undergraduate thesis). Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing. Retrieved from https://urn.nsk.hr/urn:nbn:hr:168:840977

Piškur, Mijo. "Simboličko računanje unutar omotačke algebre od sl(4,C)." Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, 2022. https://urn.nsk.hr/urn:nbn:hr:168:840977

Piškur, Mijo. "Simboličko računanje unutar omotačke algebre od sl(4,C)." Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, 2022. https://urn.nsk.hr/urn:nbn:hr:168:840977

Piškur, M. (2022). 'Simboličko računanje unutar omotačke algebre od sl(4,C)', Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, accessed 19 December 2024, https://urn.nsk.hr/urn:nbn:hr:168:840977

Piškur M. Simboličko računanje unutar omotačke algebre od sl(4,C) [Undergraduate thesis]. Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing; 2022 [cited 2024 December 19] Available at: https://urn.nsk.hr/urn:nbn:hr:168:840977

M. Piškur, "Simboličko računanje unutar omotačke algebre od sl(4,C)", Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, Zagreb, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:168:840977

Metadata
TitleSimboličko računanje unutar omotačke algebre od sl(4,C)
Title (english)Symbolic calculation in enveloping algebra of sl(4, C)
AuthorMijo Piškur
MentorDomagoj Kovačević (mentor)
Committee memberDomagoj Kovačević (predsjednik povjerenstva)
Committee memberIva Manojlović (član povjerenstva)
Committee memberJosip Žubrinić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Electrical Engineering and Computing
Zagreb
Defense date and country2022-07-04, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Computing
Abstract
U ovom radu opisan je proces računanja komutatora unutar omotačke algebre sl(4,C). Veliki komutacijski izraz razvili smo u nekoliko manjih koristeći ekvivalentnu formulu. U manjim podizrazima komutacijske izraze smo zamijenili izrazima s generatorima i operatorima. Nakon što je svaki podizraz zapisan koristeći samo monome i matematičke izraze, prešli smo na razvoj operatora, zamjenu operatora matematičkim izrazom nakon čega smo svaki podizraz kanonizirali pretvorivši ga u sumu monoma. Svaki neporedani monom iz kanoniziranog podizraza razvili smo u skup poredanih nizom zamjena redoslijeda generatora umetanjem komutacijskih izraza. Na kraju smo monome grupirali i svim monomima izlučili zajedničke faktore koji mogu sadržavati isključivo Y-generatore i X-generatore.
Abstract (english)
The process of computing commutators within enveloping algebra sl(4,C) is described in this paper. Big commutational expression was developed into a number of smaller ones using the equivalent formula. Inside the smaller subexpressions, the commutational expressions were replaced with expressions containing generators and operators. After every subexpression had got written using only monomials and mathematical expressions, replacing operators with a mathematical expression followed. Following operator conversion, each subexpression has been cannonized by converting it to a sum of monomials. Every unordered monomial from the cannonized subexpression was developed into a set of developed monomials after a series of generator replacements with injections of commutational expressions. In the end the monomials were grouped and joint factors of particular monomials which can only contain Y-generators and X-generators were extracted.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:168:840977
Study programmeTitle: Computing
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka računarstva (sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka računarstva)
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Created on2023-01-14 21:26:15