Different approaches to the complex of three Dirac operators

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10289871" target="_blank" >RIV/00216208:11320/14:10289871 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/s10455-014-9425-1" target="_blank" >http://dx.doi.org/10.1007/s10455-014-9425-1</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10455-014-9425-1" target="_blank" >10.1007/s10455-014-9425-1</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Different approaches to the complex of three Dirac operators

Popis výsledku v původním jazyce

An attempt to study the compatibility conditions, and the general free resolution, for the system associated with the Dirac operator in vector variables appeared already in Sabadini et al. (Math Z 239: 293-320, 2002), from the point of view of Clifford analysis, and in Sabadini et al. (Exp Math 12: 351-364, 2003) using the tool of megaforms. Other studies have been carried out in other papers, like Krump (Adv Appl Clifford Alg 19: 365-374, 2009), Krump and Souek (17: 537-548, 2007), Sala (The generalized Dolbeault complexes in Clifford analysis, Praha 2012), using methods of representation theory. In this paper, we restrict our attention to the case of three variables and we describe the free resolution associate to the module from various different angles. The comparison has several noteworthy consequences. In particular, it gives the explicit description of all the maps contained in the algebraic resolution and shows that they are invariant with respect to the action of . We also dis

Název v anglickém jazyce

Different approaches to the complex of three Dirac operators

Popis výsledku anglicky

An attempt to study the compatibility conditions, and the general free resolution, for the system associated with the Dirac operator in vector variables appeared already in Sabadini et al. (Math Z 239: 293-320, 2002), from the point of view of Clifford analysis, and in Sabadini et al. (Exp Math 12: 351-364, 2003) using the tool of megaforms. Other studies have been carried out in other papers, like Krump (Adv Appl Clifford Alg 19: 365-374, 2009), Krump and Souek (17: 537-548, 2007), Sala (The generalized Dolbeault complexes in Clifford analysis, Praha 2012), using methods of representation theory. In this paper, we restrict our attention to the case of three variables and we describe the free resolution associate to the module from various different angles. The comparison has several noteworthy consequences. In particular, it gives the explicit description of all the maps contained in the algebraic resolution and shows that they are invariant with respect to the action of . We also dis

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2014

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Annals of Global Analysis and Geometry

ISSN

0232-704X

e-ISSN

—

Svazek periodika

46

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

22

Strana od-do

313-334

Kód UT WoS článku

000342429300008

EID výsledku v databázi Scopus

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