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Endomorphism Algebras and q-Traces
For a braided vector space with braiding of Hecke type,
we introduce three associative algebra structures on the space
of graded endomorphisms of the
quantum symmetric algebra . We use the second product to construct
a new trace. This trace is an algebra morphism with respect to the third
product. In particular, when is the fundamental representation of
and is the action of the
-matrix, this trace is a scalar multiple of the quantum trace of type .Comment: 19 pages;typos added; version for the publication of JPAA before
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