easy_summary
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| ====== Categories of partitions and orthogonal easy quantum groups – Summary ====== | ====== Categories of partitions and orthogonal easy quantum groups – Summary ====== | ||
| - | ===== Headline ===== | + | ===== Sorting with respect to freeness ===== |
| + | <columns 100% 40% 3% -> | ||
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| + | * [[Free orthogonal easy quantum groups]] | ||
| + | * [[free_orthogonal_quantum_group|Free orthogonal QG]] ($O^+$) | ||
| + | * [[free_bistochastic_quantum_group|Free bistochastic QG]] ($B^+$) | ||
| + | * [[Freely modified bistochastic quantum group|Freely modified bistochastic QG]] ($B^{\# +}$) | ||
| + | * [[Free modified bistochastic quantum group|Free modified bistochastic QG]] ($B^{\prime +}$) | ||
| + | * [[Free hyperoctahedral quantum group|Free hyperoctahedral QG]] ($H^+$) | ||
| + | * [[Free hyperoctahedral quantum group|Free symmetric QG]] ($S^+$) | ||
| + | * [[Free modified symmetric quantum group|Free modified symmetric QG]] ($S^{\prime +}$) | ||
| + | * [[Half-liberated orthogonal easy quantum groups]] | ||
| + | * [[Half-liberated orthogonal quantum group|Half-liberated orthogonal QG]] ($O^\ast$) | ||
| + | * [[Half-liberated bistochastic quantum group|Half-liberated bistochastic QG]] ($B^{\# \ast}$) | ||
| + | * [[Half-liberated hyperoctahedral quantum group|Half-liberated hyperoctahedral QG]] ($H^\ast$) | ||
| + | * [[Hyperoctahedral series]] ($H^{(\,\cdot\,)}$) | ||
| + | * [[Group-theoretical hyperoctahedral easy orthogonal quantum groups|Group-theoretical easy QGs]] | ||
| + | * [[Higher hyperoctahedral series]] ($H^{[\,\cdot\,]}$) | ||
| + | * [[Non-group-theoretical hyperoctahedral easy orthogonal quantum groups|Interpolating series]] ($H^{[\pi_{(\,\cdot\,)}]}$) | ||
| + | * [[Square commuting hyperoctahedral quantum group|Square commuting hyperoctahedral QG]] ($H^\diamond$) | ||
| + | * [[Classical orthogonal matrix groups]] | ||
| + | * [[Orthogonal group]] ($O$) | ||
| + | * [[Bistochastic group]] ($B$) | ||
| + | * [[Modified bistochastic group]] ($B'$) | ||
| + | * [[Hyperoctahedral group]] ($H$) | ||
| + | * [[Symmetric group]] ($S$) | ||
| + | * [[Modified symmetric group]] ($S'$) | ||
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| + | <newcolumn> | ||
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| + | \\ | ||
| + | $\vertarr10cm free<->group.$ | ||
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| + | <newcolumn> | ||
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| + | * [[Categories of non-crossing partitions]] | ||
| + | * [[temperley_lieb_category|Category of non-crossing pair partitions]] ($\mathrm{O}^+$) | ||
| + | * [[Category of non-crossing partitions with small blocks]] ($\mathrm{B}^+$) | ||
| + | * [[Category of non-crossing partitions of even size with small blocks and even distances between legs|Cat. of NC even size part. w/ small blocks, even dist. betw. legs]] ($\mathrm{B}^{\#+}$) | ||
| + | * [[Category of non-crossing partitions of even size with small blocks]] ($\mathrm{B}^{\prime+}$) | ||
| + | * [[Category of non-crossing partitions with blocks of even size]] ($\mathrm{H}^+$) | ||
| + | * [[Category of all non-crossing partitions]] ($\mathrm{S}^+$) | ||
| + | * [[Category of non-crossing partitions of even size]] ($\mathrm{S}^{\prime+}$) | ||
| + | * [[Half-liberated categories of partitions]] | ||
| + | * [[Category of pair partitions with even distances between legs]] ($\mathrm{O}^\ast$) | ||
| + | * [[category_of_partitions_of_even_size_with_small_blocks_and_even_distances_between_legs|Cat. of even size part. w/ small blocks, even dist. between legs]] ($\mathrm{B}^{\#\ast}$) | ||
| + | * [[category_of_partitions_with_blocks_of_even_size_and_even_distances_between_legs|Cat. of part. w/ blocks of even size, parity-balanced legs]] ($\mathrm{H}^\ast$) | ||
| + | * [[Categories of the hyperoctahedral series]] ($\mathrm{H}^{(\,\cdot\,)}$) | ||
| + | * [[Group-theoretical hyperoctahedral categories of partitions]] | ||
| + | * [[Categories of the higher hyperoctahedral series]] ($\mathrm{H}^{[\,\cdot\,]}$) | ||
| + | * [[Non-group-theoretical hyperoctahedral categories of partitions|Interpolating series]] ($\mathrm{H}^{[\pi_{(\,\cdot\,)}]}$) | ||
| + | * [[Square commuting hyperoctahedral category]] (${\rm H}^\diamond$) | ||
| + | * [[Group categories]] | ||
| + | * [[brauer category|Category of all pair partitions]] ($\mathrm{O}$) | ||
| + | * [[Category of all partitions with small blocks]] ($\mathrm{B}$) | ||
| + | * [[Category of partitions of even size with small blocks]] ($\mathrm{B}'$) | ||
| + | * [[Category of partitions with blocks of even size]] ($\mathrm{H}$) | ||
| + | * [[Category of all partitions]] ($\mathrm{S}$) | ||
| + | * [[Category of partitions of even size]] ($\mathrm{S}'$) | ||
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| + | </columns> | ||
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easy_summary.1592549051.txt.gz · Last modified: 2021/11/23 11:56 (external edit)
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