prikaz prve stranice dokumenta Lie algebra modules which are locally finite and with finite multiplicities over the semisimple part
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Lie algebra modules which are locally finite and with finite multiplicities over the semisimple part
Nagoya mathematical journal, 246 (2022); 430-470. urn:nbn:hr:237:520806
Mazorchuk, Volodymyr; Mrđen, Rafael

Institucijski repozitorij: Repozitorij Građevinskog fakulteta Sveučilišta u Zagrebu

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Mazorchuk, V. i Mrđen, R. (2022). Lie algebra modules which are locally finite and with finite multiplicities over the semisimple part. Nagoya mathematical journal, 246., 430-470. Preuzeto s https://urn.nsk.hr/urn:nbn:hr:237:520806

Mazorchuk, Volodymyr i Rafael Mrđen. "Lie algebra modules which are locally finite and with finite multiplicities over the semisimple part." Nagoya mathematical journal, vol. 246, 2022, str. 430-470. https://urn.nsk.hr/urn:nbn:hr:237:520806

Mazorchuk, Volodymyr i Rafael Mrđen. "Lie algebra modules which are locally finite and with finite multiplicities over the semisimple part." Nagoya mathematical journal 246 (2022): 430-470. https://urn.nsk.hr/urn:nbn:hr:237:520806

Mazorchuk, V. i Mrđen, R. (2022) 'Lie algebra modules which are locally finite and with finite multiplicities over the semisimple part', Nagoya mathematical journal, 246, str. 430-470. Preuzeto s: https://urn.nsk.hr/urn:nbn:hr:237:520806 (Datum pristupa: 13.01.2025.)

Mazorchuk V, Mrđen R. Lie algebra modules which are locally finite and with finite multiplicities over the semisimple part. Nagoya mathematical journal [Internet]. 2022. [pristupljeno 13.01.2025.];246:430-470. Dostupno na: https://urn.nsk.hr/urn:nbn:hr:237:520806

V. Mazorchuk i R. Mrđen, "Lie algebra modules which are locally finite and with finite multiplicities over the semisimple part", Nagoya mathematical journal, vol. 246, str. 430-470, 2022. [Online]. Dostupno na: https://urn.nsk.hr/urn:nbn:hr:237:520806. [Citirano: 13.01.2025.]

Za citiranje koristite ovu mrežnu adresu: https://urn.nsk.hr/urn:nbn:hr:237:520806
Podaci o radu
Naslov (engleski)Lie algebra modules which are locally finite and with finite multiplicities over the semisimple part
AutorVolodymyr Mazorchuk
AutorRafael Mrđen
Autorova ustanovaSveučilište u Zagrebu
Građevinski fakultet
Znanstveno / umjetničko
područje, polje i grana		TEHNIČKE ZNANOSTI
Građevinarstvo
Sažetak (engleski)
For a finite-dimensional Lie algebra L over C with a fixed Levi decomposition L=g+r where g is semi- simple, we investigate L-modules which decompose, as g-modules, into a direct sum of simple finite- dimensional g-modules with finite multiplicities. We call such modules g-Harish-Chandra modules. We give a complete classification of simple g-Harish- Chandra modules for the Takiff Lie algebra associated to g=sl_2, and for the Schrödinger Lie algebra, and obtain some partial results in other cases. An adapted version of Enright's and Arkhipov's completion functors plays a crucial role in our arguments. Moreover, we calculate the first extension groups of infinite-dimensional simple g- Harish-Chandra modules and their annihilators in the universal enveloping algebra, for the Takiff sl_2 and the Schrödinger Lie algebra. In the general case, we give a sufficient condition for the existence of infinite-dimensional simple g- Harish-Chandra modules.
Ključne riječi (engleski)
Jezikengleski
Vrsta publikacijeZnanstveni rad - Izvorni znanstveni rad
Status objaveObjavljen
Vrsta recenzijeRecenziran - međunarodna recenzija
Verzija publikacijeObjavljena verzija rada (izdavačev PDF)
Naslov časopisaNagoya mathematical journal
Brojčani podacivol. 246, str. 430-470
e-ISSN2152-6842
URN:NBNurn:nbn:hr:237:520806
Datum objave publikacije2022
Vrsta resursaTekst
Prava pristupaOtvoreni pristup
Uvjeti korištenjaIkona licence Zaštićeno autorskim pravom.
Datum i vrijeme pohrane2024-09-05 05:18:55