Abstract
We suggest a reduction of the globalization and multidimensional quantization to the case of reductive Lie groups by lifting to U(1)-covering. our construction is connected with M. Duflo`s third method for algebraic groups. From a reductive datum of the given real algebraic Lie group we firstly construct geometric complexes with respect to U(1)-covering by using the unipotent positive distributions. Then we describe in terms of local cohomology the maximal globalization of Harish-Chandra modules which correspond to the geometric complexes. (author). 9 refs.
Citation Formats
Dong, Tran Dao.
A reduction of the globalization and U(1)-covering.
IAEA: N. p.,
1993.
Web.
Dong, Tran Dao.
A reduction of the globalization and U(1)-covering.
IAEA.
Dong, Tran Dao.
1993.
"A reduction of the globalization and U(1)-covering."
IAEA.
@misc{etde_10151991,
title = {A reduction of the globalization and U(1)-covering}
author = {Dong, Tran Dao}
abstractNote = {We suggest a reduction of the globalization and multidimensional quantization to the case of reductive Lie groups by lifting to U(1)-covering. our construction is connected with M. Duflo`s third method for algebraic groups. From a reductive datum of the given real algebraic Lie group we firstly construct geometric complexes with respect to U(1)-covering by using the unipotent positive distributions. Then we describe in terms of local cohomology the maximal globalization of Harish-Chandra modules which correspond to the geometric complexes. (author). 9 refs.}
place = {IAEA}
year = {1993}
month = {Mar}
}
title = {A reduction of the globalization and U(1)-covering}
author = {Dong, Tran Dao}
abstractNote = {We suggest a reduction of the globalization and multidimensional quantization to the case of reductive Lie groups by lifting to U(1)-covering. our construction is connected with M. Duflo`s third method for algebraic groups. From a reductive datum of the given real algebraic Lie group we firstly construct geometric complexes with respect to U(1)-covering by using the unipotent positive distributions. Then we describe in terms of local cohomology the maximal globalization of Harish-Chandra modules which correspond to the geometric complexes. (author). 9 refs.}
place = {IAEA}
year = {1993}
month = {Mar}
}