Deformation Expression for Elements of Algebras (VIII) --SU(2)-vacuum and the regular representation space--

Abstract

Consider the problem "Give the equation of the conceptional rotations in ${\mathbb{R}}^3$ without using the parameter expressing individual rotations", just as the conceptional motion of constant velocity along straight lines (Galiley motions) is expressed by an elementary differential equation. In this we try to give an answer to the topic related with the above issue.

References in corpus (7)

• Deformation Expression for Elements of Algebras (II) --(Weyl algebra of 2m-generators)--
• Deformation Expression for Elements of Algebras (I) --(Jacobi's theta functions and *-exponential functions)--
• Deformation Expression for Elements of Algebras (III) --Generic product formula for *-exponentials of quadratic forms--
• Deformation Expression for Elements of Algebras (IV) --Matrix elements and related integrals--
• Deformation Expression for Elements of Algebras (V) - Diagonal matrix calculus and $\ast$-special functions -
• Deformation Expression for Elements of Algebras (VI) --Vacuum representation of Heisenberg algebra--
• Deformation Expression for Elements of Algebras (VII) --Vacuum/Pseudo-vacuum Representations--