NDLI: H-type groups and Clifford modules

Content Provider	Springer Nature Link
Author	Reimann, H. M.
Copyright Year	2001
Abstract	2-step nilpotent Lie groups are non-commutative groups which in a certain sense are very close to commutative groups. The simplest of them is the Heisenberg group, whose Lie algebra can be described with a single non-trivial bracket. TheH-type groups are modelled on this example. Their bracket structure is quite simple yet structurally well organized so that they become very rigid. From the definning properties it follows, thatH-type groups are characterized by Clifford algebra representations. Geometrically they are tied to (generalized) contact transformations. Analytic methods are used in order to establish rigidity for groups whose center is of dimension at least three.
Ending Page	287
Page Count	11
Starting Page	277
File Format	PDF
ISSN	01887009
e-ISSN	16614909
Journal	Advances in Applied Clifford Algebras
Issue Number	2
Volume Number	11
Language	English
Publisher	Birkhäuser-Verlag
Publisher Date	2001-01-01
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Clifford Algebras Analysis on other specific Lie groups Clifford modules H-type groups Mathematical Methods in Physics Clifford algebras, spinors Theoretical, Mathematical and Computational Physics Applications of Mathematics contact structures Physics Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.)
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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