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The example of positive pair ( ¯ 3, ¯ 2) ⊗ (2, 3) and negative pair ( ¯ 4, 1) ⊗ ( ¯ 1, 4).

The example of positive pair ( ¯ 3, ¯ 2) ⊗ (2, 3) and negative pair ( ¯ 4, 1) ⊗ ( ¯ 1, 4).

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Figure 2. The example of positive pair ( ¯ 3, ¯ 2) ⊗ (2, 3) and...
Figure 3. The example of statistic of partition π ∈ P B 1,2 (10) i.e....
The double Fock space of type B
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  • Feb 2022
In this article we introduce the notion of double Fock space of type B. We will show that this new construction are compatible with combinatorics of counting positive and negative inversion on hyperoctahedral group.
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