Representation of a Lie Superalgebra

High Quality Content by WIKIPEDIA articles! A unitary representation of such a Lie algebra is a Z2 graded Hilbert space which is a representation of a Lie superalgebra as above together with the requirement that self-adjoint elements of the Lie superalgebra are represented by Hermitian transformations. This is a major concept in the study of supersymmetry together with representation of a Lie superalgebra on an algebra. Say A is an -algebra representation of the Lie superalgebra (together with the additional requirement that respects the grading and L[a] =-(-1)LaL [a ]) and H is the unitary rep and also, H is a unitary representation of A.

Klappentext

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. A unitary representation of such a Lie algebra is a Z2 graded Hilbert space which is a representation of a Lie superalgebra as above together with the requirement that self-adjoint elements of the Lie superalgebra are represented by Hermitian transformations. This is a major concept in the study of supersymmetry together with representation of a Lie superalgebra on an algebra. Say A is an -algebra representation of the Lie superalgebra (together with the additional requirement that respects the grading and L[a]=-(-1)LaL[a*]) and H is the unitary rep and also, H is a unitary representation of A.