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Invariant Operators for Quaternionic Structures

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Clifford Analysis and Its Applications

Part of the book series: NATO Science Series ((NAII,volume 25))

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Abstract

This paper is an application of the method of weight graphs to the case of the quaternionic structure. The result is the BGG sequence of operators (regular and singular versions) containing all standard invariant operators.

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References

  • Čap, A., Slovák, J., Souček, V., Invariant operators on manifolds with almost Hermitian symmetric structures, III. Standard Operators, Jour. Diff. Geom. Appl. 12 (2000), 51–84

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  • Krump, L., Construction of BGG sequences for AHS structures, to appear in Comment. Math. Univ. Carolinae (2000)

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  • Krump, L., Order formula for BGG sequences for AHS structures, to be published

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  • Adams, W., Bernstein, C., Loustaunau, P., Sabadini, I., Struppa, D., Regular functions of several complex variables and the Cauchy-Fueter complex, to appear in Jour. Geom. Anal.

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© 2001 Springer Science+Business Media Dordrecht

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Krump, L. (2001). Invariant Operators for Quaternionic Structures. In: Brackx, F., Chisholm, J.S.R., Souček, V. (eds) Clifford Analysis and Its Applications. NATO Science Series, vol 25. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0862-4_15

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  • DOI: https://doi.org/10.1007/978-94-010-0862-4_15

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-7045-1

  • Online ISBN: 978-94-010-0862-4

  • eBook Packages: Springer Book Archive

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