On the Symmetric Tensor Operators of the Unitary Groups

1972 ◽  
Vol 13 (9) ◽  
pp. 1329-1333 ◽  
Author(s):  
S. J. Ališauskas ◽  
A.‐ A. A. Jucys ◽  
A. P. Jucys
Keyword(s):  
Symmetric Tensor ◽  
Unitary Groups ◽  
Tensor Operators

scholarly journals A pattern calculus for tensor operators in the unitary groups

1968 ◽  
Vol 8 (2) ◽  
pp. 89-131 ◽  
Author(s):  
L. C. Biedenharn ◽  
J. D. Louck
Keyword(s):  
Unitary Groups ◽  
Tensor Operators

scholarly journals Vertical Distribution Relations for Special Cycles on Unitary Shimura Varieties

2018 ◽  
Vol 2020 (13) ◽  
pp. 3902-3926
Author(s):  
Réda Boumasmoud ◽  
Ernest Hunter Brooks ◽  
Dimitar P Jetchev
Keyword(s):  
Vertical Distribution ◽  
Three Dimensional ◽  
Complex Multiplication ◽  
Horizontal Distribution ◽  
Unitary Groups ◽  
Shimura Varieties ◽  
Heegner Points ◽  
Universal Norm

Abstract We consider cycles on three-dimensional Shimura varieties attached to unitary groups, defined over extensions of a complex multiplication (CM) field $E$, which appear in the context of the conjectures of Gan et al. [6]. We establish a vertical distribution relation for these cycles over an anticyclotomic extension of $E$, complementing the horizontal distribution relation of [8], and use this to define a family of norm-compatible cycles over these fields, thus obtaining a universal norm construction similar to the Heegner $\Lambda $-module constructed from Heegner points.

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