unipotent वाक्य
उदाहरण वाक्य
मोबाइल
- We let M _ 2 ( \ mathbb { C } ) denote the 2x2 matrices over \ mathbb { C }, U denote the upper triangular unipotent matrices ( that is, matrices with'1's on the diagonal, a zero below and anything above ), and T denote the matrices of the form \ operatorname { Diag } ( t, t ^ {-1 } ).
- If " G " is a split reductive group and " U " is the unipotent radical of a Borel subgroup " B ", then a Whittaker model for a representation is an embedding of it into the induced ( Gelfand Graev ) representation Ind ( ? ), where ? is a non-degenerate character of " U ", such as the sum of the characters corresponding to simple roots.
- David Roberts provided a natural combinatorial link between the Artin Hasse exponential and the regular exponential in the spirit of the ergodic perspective ( linking the " p "-adic and regular norms over the rationals ) by showing that the Artin Hasse exponential is also the generating function for the probability that an element of the symmetric group is unipotent in characteristic " p ", whereas the regular exponential is the probability that an element of the same group is unipotent in characteristic zero.
- David Roberts provided a natural combinatorial link between the Artin Hasse exponential and the regular exponential in the spirit of the ergodic perspective ( linking the " p "-adic and regular norms over the rationals ) by showing that the Artin Hasse exponential is also the generating function for the probability that an element of the symmetric group is unipotent in characteristic " p ", whereas the regular exponential is the probability that an element of the same group is unipotent in characteristic zero.
- The underlying reduced scheme of the geometric kernel is isomorphic to the additive group " G " " a " and is the unipotent radical of the geometric fiber of " G ", but this reduced subgroup scheme of the geometric fiber is not defined over " k " ( i . e ., it does not arise from a closed subscheme of " G " over the ground field ) and the unipotent " k "-radical is trivial.
- The underlying reduced scheme of the geometric kernel is isomorphic to the additive group " G " " a " and is the unipotent radical of the geometric fiber of " G ", but this reduced subgroup scheme of the geometric fiber is not defined over " k " ( i . e ., it does not arise from a closed subscheme of " G " over the ground field ) and the unipotent " k "-radical is trivial.
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