D. Juriev

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19982001

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math.RT1998

Interactive games and representation theory. II. A second quantization

Denis V. Juriev

A second quantization procedure for the field-theoretic description of interactive games is analyzed. Its relation to the dynamical inverse problem of representation theory is emph…

math.RT1998

Infinite dimensional geometry of $M_{1} = D i f f_{+} (S^{1}) / P S L (2, R)$ and $q_{R}$ -conformal symmetries. II. Geometric quantization and hidden symmetries of Verma modules over Virasoro algebra

Denis V. Juriev

Some natural hidden symmetries in the Verma modules over the Virasoro algebra are constructed in terms of geometric quantization. Their differential geometric meaning is establishe…

math.RT1998

Infinite dimensional geometry of $M_{1} = D i f f_{+} (S^{1}) / P S L (2, R)$ and $q_{R}$ --conformal symmetries

Denis V. Juriev

A geometric interpretation of approximate ( $H S$ -projective or $T C$ -projective) representations of the Witt algebra $w^{C}$ by $q_{R}$ -conformal symmetries in the Verma modules $V_{h}$ ov…

math.RT1998

Approximate representations and Virasoro algebra

Denis V. Juriev

In the paper there are investigated various approximate representations of the infinite dimensional $Z$ --graded Lie algebras: the Witt algebra of all Laurent polynomial vector…

Interactive games and representation theory. II. A second quantization

Infinite dimensional geometry of M1​=Diff+​(S1)/PSL(2,R) and qR​-conformal symmetries. II. Geometric quantization and hidden symmetries of Verma modules over Virasoro algebra

Infinite dimensional geometry of M1​=Diff+​(S1)/PSL(2,R) and qR​--conformal symmetries

Approximate representations and Virasoro algebra

Infinite dimensional geometry of $M_{1} = D i f f_{+} (S^{1}) / P S L (2, R)$ and $q_{R}$ -conformal symmetries. II. Geometric quantization and hidden symmetries of Verma modules over Virasoro algebra

Infinite dimensional geometry of $M_{1} = D i f f_{+} (S^{1}) / P S L (2, R)$ and $q_{R}$ --conformal symmetries