Young symmetrizer

In mathematics, a Young symmetrizer is an element of the group algebra of the symmetric group, constructed in such a way that, for the homomorphism from the group algebra to the endomorphisms of a vector space $V^{\otimes n}$ obtained from the action of $S_n$ on $V^{\otimes n}$ by permutation of indices, the image of the endomorphism determined by that element corresponds to an irreducible representation of the symmetric group over the complex numbers. A similar construction works over any field, and the resulting representations are called Specht modules. The Young symmetrizer is named after British mathematician Alfred Young.

单词	Young symmetrizer
释义	Young symmetrizer 英语百科 Young symmetrizer In mathematics, a Young symmetrizer is an element of the group algebra of the symmetric group, constructed in such a way that, for the homomorphism from the group algebra to the endomorphisms of a vector space $V^{\otimes n}$ obtained from the action of $S_n$ on $V^{\otimes n}$ by permutation of indices, the image of the endomorphism determined by that element corresponds to an irreducible representation of the symmetric group over the complex numbers. A similar construction works over any field, and the resulting representations are called Specht modules. The Young symmetrizer is named after British mathematician Alfred Young.
随便看	shore zone的意思 Shorfa的意思 shorge的意思 Shori的意思 shorier的意思 shoring的意思 Shoring and bracing的意思 shoring beam的意思 SHORING for trenches or excavations的意思 SHORING of buildings的意思 shoring of foundation的意思 SHORING of shuttering or forms的意思 shoring of trench的意思 shore的意思 shoring to walls的意思 shoring up的意思 shoring ups的意思 shoring work的意思 shorinophon的意思 Shorin Ryu的意思 Shorkot的意思 shorl的意思 shorl的意思 shorl的意思 shorl rock的意思