0
votes
0answers
43 views

a natural linear transformation on the space $V\otimes V$

Let $T\in \wedge^4V$ , and define the tensor $A(T)$, of type (2,2), on the space $V$, ($dimV=8$) by the formula $(A(T))^{i_1i_2}_{m_1m_2}=\varepsilon ...
1
vote
0answers
28 views

Invariants of representation theory of Lie groups

How to compute the determinant of a representation of an element of the special linear group? How do I argue that it doesn't change? (@Marek: @rschwieb: Yes well, given one represenation (with ...