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Realizations of factor representations of finite type with emphasis on their characters for wreath products of compact groups with the infinite symmetric group

机译：有限型因子表示的实现，重点是具有无限对称组的紧凑型群体的花圈产品的特征

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Takeshi Hirai; Etsuko Hirai; Akihito Hora;
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1. Limits of characters of wreath products ${mathfrak S}_{n}(T)$ of a compact group $T$ with the symmetric groups and characters of ${mathfrak S}_{infty}(T)$, I [J] . Takeshi Hirai, Etsuko Hirai, Akihito Hora Nagoya Mathematical Journal . 2009,第1a2期

机译：带有对称组的紧致组$ T $的花圈产品$ { mathfrak S} _ {n}（T）$的字符组和字符限制，$ { mathfrak S} _ { infty}（T）$一世
2. Limits Of Characters Of Wreath Products Б_n(t) Of A Compact Group T With The Symmetric Groups And Characters Of Б_∞, Ⅱ From A Viewpoint Of Probability Theory [J] . Akihito Hora, Takeshi Hirai, Etsuko Hirai Journal of the Mathematical Society of Japan . 2008,第4期

机译：从概率论的角度来看具有对称群的紧致群T的花环产物Б_n（t）的特征极限和Б_∞，Ⅱ的特征
3. Analogies between finite-dimensional irreducible representations of SO(2n) and infinite-dimensional irreducible representations of Sp(2n,R). I. Characters and products [J] . King RC., Wybourne BG. Journal of Mathematical Physics . 2000,第7期

机译：SO（2n）的有限维不可约表示与Sp（2n，R）的无限维不可约表示之间的类比。一，人物和产品
4. TOWARDS PROJECTIVE REPRESENTATIONS AND SPIN CHARACTERS OF FINITE AND INFINITE COMPLEX REFLECTION GROUPS [C] . TAKESHI HIRAI, ETSUKO HIRAI, AKIHITO HORA German-Japanese Symposium on Infinite Dimensional Harmonic Analysis . 2009

机译：朝向有限和无限复杂反射组的投影表示和旋转特征
5. Classifying spaces of symmetric groups and wreath products. [D] . Arnold, David Louis. 2013

机译：对对称组和花圈产品的空间进行分类。
6. ON THE KRONECKER PRODUCT OF IRREDUCIBLE REPRESENTATIONS OF THE SYMMETRIC GROUP [O] . Francis D. Murnaghan 1956

机译：对称群不可约表示的Kronecker积
7. Factor representations and their characters for the wreath products of compact groups with the infinite symmetric group [O] . HIRAI Takeshi 2005

机译：具有无限对称群的紧群的花圈乘积的因子表示及其性质。

Realizations of factor representations of finite type with emphasis on their characters for wreath products of compact groups with the infinite symmetric group

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