discrete series sentence in Hindi
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- Which would be the definition of a discrete series representation.
- These algebras have unitary discrete series representations at central charge
- Every discrete series representation occurs in this way.
- Every complex simple Lie group has a real form with quaternionic discrete series representations.
- Schmid's early work concerns the construction of discrete series representations of semi-simple Lie groups.
- Found the first examples of holomorphic discrete series representations, and classified them for all semisimple Lie groups.
- The groups SU ( 2, " n " ) have both holomorphic and quaternionic discrete series representations.
- The existence of these discrete series was conjectured by Daniel Friedan, Zongan Qiu, and Stephen Shenker ( 1984 ).
- Harish-Chandra's classification of the discrete series representations of a semisimple connected Lie group is given as follows.
- The discrete series consists of'atoms'of the unitary dual ( points carrying a Plancherel measure > 0 ).
- George Oppen's " Discrete Series " relates its poetic seriality to the mathematic concept of a discrete series.
- George Oppen's " Discrete Series " relates its poetic seriality to the mathematic concept of a discrete series.
- An example of an L-packet is the set of discrete series representations with a given infinitesimal character and given central character.
- Quaternionic representations are analogous to holomorphic discrete series representations, which exist when the symmetric space of the group has a complex structure.
- Invariant convex cones arise in the analysis of holomorphic semigroups in the contraction operators on the holomorphic discrete series; its interior acts by Hilbert Schmidt operators.
- For example, the discrete series representations of SL 2 ( "'R "') are grouped into L-packets with two elements.
- Quaternionic discrete series representations exist when the maximal compact subgroup of the group " G " has a normal subgroup isomorphic to SU ( 2 ).
- Oppen had begun working on poems for what was to be his first book, " Discrete Series ", a seminal work in early Objectivist history.
- The unitary highest weight representations of these algebras have a classification analogous to that for the Virasoro algebra, with a continuum of representations together with an infinite discrete series.
- Blattner's formula is what one gets by formally restricting the Harish-Chandra character formula for a discrete series representation to the maximal torus of a maximal compact group.
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