A theorem on the relative norm of an ideal

1948 ◽  
Vol 21 (1) ◽  
pp. 29-43 ◽  
Author(s):  
Ladislas Fuchs
Keyword(s):  
Relative Norm

Limited Sets and Bibasic Sequences

2015 ◽  
Vol 58 (1) ◽  
pp. 71-79 ◽  
Author(s):  
Ioana Ghenciu
Keyword(s):  
Weak Compactness ◽  
Relative Norm

AbstractBibasic sequences are used to study relative weak compactness and relative norm compactness of limited sets.

MULTIPLICATION FORMULAS AND SEMISIMPLICITY FOR -SCHUR SUPERALGEBRAS

2018 ◽  
Vol 237 ◽  
pp. 98-126
Author(s):  
JIE DU ◽  
HAIXIA GU ◽  
ZHONGGUO ZHOU
Keyword(s):  
Symmetric Group ◽  
Matrix Representation ◽  
Regular Representation ◽  
Double Cosets ◽  
Quantum Supergroup ◽  
The Matrix ◽  
Relative Norm

We investigate products of certain double cosets for the symmetric group and use the findings to derive some multiplication formulas for the $q$-Schur superalgebras. This gives a combinatorialization of the relative norm approach developed in Du and Gu (A realization of the quantum supergroup$\mathbf{U}(\mathfrak{g}\mathfrak{l}_{m|n})$, J. Algebra 404 (2014), 60–99). We then give several applications of the multiplication formulas, including the matrix representation of the regular representation and a semisimplicity criterion for $q$-Schur superalgebras. We also construct infinitesimal and little $q$-Schur superalgebras directly from the multiplication formulas and develop their semisimplicity criteria.

scholarly journals On solving relative norm equations in algebraic number fields

1997 ◽  
Vol 66 (217) ◽  
pp. 399-411 ◽  
Author(s):  
C. Fieker ◽  
A. Jurk ◽  
M. Pohst
Keyword(s):  
Algebraic Number ◽  
Number Fields ◽  
Algebraic Number Fields ◽  
Relative Norm
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