The Dirac Complex on Abstract Vector Variables: Megaforms
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Publication:5317280
DOI10.1080/10586458.2003.10504504zbMath1078.30044OpenAlexW2015628791MaRDI QIDQ5317280
Irene Sabadini, Daniele C. Struppa, Fransiscus Sommen
Publication date: 16 September 2005
Published in: Experimental Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.em/1087329237
Functions of hypercomplex variables and generalized variables (30G35) PDEs in connection with quantum mechanics (35Q40) Syzygies, resolutions, complexes in associative algebras (16E05)
Related Items (9)
Hermitian Clifford analysis on superspace ⋮ Explicit resolutions for the complex of several Fueter operators ⋮ The radial algebra as an abstract framework for orthogonal and Hermitian Clifford analysis ⋮ Higher spin Dirac operators between spaces of simplicial monogenics in two vector variables ⋮ \(k\)-Dirac operator and parabolic geometries ⋮ Different approaches to the complex of three Dirac operators ⋮ Quaternionic hyperfunctions on five-dimensional varieties in \(\mathbb H^2\) ⋮ Invariant resolutions for several Fueter operators ⋮ Sato's hyperfunctions and boundary values of monogenic functions
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- Regular functions of several quaternionic variables
- Quaternionic complexes
- Patterson-Sullivan theory in higher rank symmetric spaces
- Hartog's phenomenon for polyregular functions and projective dimension of related modules over a polynomial ring
- Complexes of Dirac operators in Clifford algebras
- Holomorphic synthesis of monogenic functions of several quaternionic variables
- Clifford analysis in two and several vector variables
- Computational algebraic analysis methods in Clifford analysis
- Analysis of the module determining the properties of regular functions of several quaternionic variables.
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